400 (number)
400 is the natural number following 399 and preceding [|401].
Mathematical properties
400 is the square of 20. 400 is the sum of the powers of 7 from 0 to 3, thus making it a repdigit in base 7.A circle is divided into 400 grads, which is equal to 360 degrees and 2π radians..
400 is a self number in base 10, since there is no integer that added to the sum of its own digits results in 400. On the other hand, 400 is divisible by the sum of its own base 10 digits, making it a Harshad number.
Other fields
Four hundred is also- The Four Hundred of ancient Athens.
- An HTTP status code for a bad client request.
- The Four Hundred a phrase meaning the wealthiest, most famous, or most powerful social group, leading to the generation of such lists as the Forbes 400.
- The Atari 400 home computer.
- A former limited stop bus route which operated from Bolton to Stockport and Manchester Airport from 1970 to 2004, known as the Trans-Lancs Express.
- in the title of the film Les Quatre Cent Coups, a French film directed by François Truffaut.
- A Lebanese card game. 400
- the designation for a class of Ontario highways called 400-Series Highways.
- The 400, later the Twin Cities 400, a Chicago and North Western Railway passenger train that traveled 400 miles between Minneapolis/St. Paul and Chicago, Illinois in 400 minutes.
- The yard number of the RMS Olympic, the RMS Titanic's sister ship.
- .400 is a numerically significant annual batting average statistic in Major League Baseball, last accomplished by Ted Williams of the Boston Red Sox in 1941.
- The number of days in a Gregorian calendar year changes according to a cycle of exactly 400 years, of which 97 are leap years and 303 are common.
- The Intertestamental period or period of time between the writings of the Hebrew Bible and the Christian New Testament texts is traditionally considered to be a roughly four hundred-year period.
- The Sun is approximately 400 times the size of the Moon but also is approximately 400 times further away, creating the temporary illusion in which the Sun and Moon in Earth's sky appear as if of similar size.
- In gematria 400 is the largest single number that can be represented without using the Sophit forms.
Integers from 401 to 499
400s
401
A prime number, tetranacci number, sum of seven consecutive primes, sum of nine consecutive primes, Chen prime, Eisenstein prime with no imaginary part, Mertens function returns 0, member of the Mian–Chowla sequence.- HTTP status code for "Unauthorized", area code for Rhode Island, also in the name of a retirement plan, 401. Stephen Colbert's Formula 401, a "man seed" based product brand his persona on The Colbert Report promotes for sale to the public .
- Ontario Highway 401, colloquially referred to as the four-oh-one, is a popular Canadian highway 817.9 kilometres that stretches from Windsor to the Quebec border, passing through Toronto. It turns into Quebec Autoroute 20 at the Quebec/Ontario border which leads to the cities of Montreal and Quebec.
402
- HTTP status code for "Payment Required", area code for Nebraska
403
- First number that is the product of an emirp pair.
- HTTP 403, the status code for "Forbidden"
- Also in the name of a retirement plan in the United States, 403.
- The area code for southern Alberta.
404
- HTTP status code for "Not Found", perhaps the most famous HTTP status code.
- Section 404 of the Sarbanes–Oxley Act.
- One of the three area codes of the Atlanta calling area.
405
- HTTP status code for "Method Not Allowed".
- Area code for central Oklahoma, including Oklahoma City and surrounding suburbs.
406
- HTTP status code for "Not Acceptable".
- is a poem by John Boyle O'Reilly. It was believed to have been the number of one of O'Reilly's prison cells, and was the number of his first hotel room after he arrived in the United States. Hence the number had a mystical significance to him, as intimated in the poem.
- See also the Peugeot 406 car.
- Area code for all of Montana.
407
- sum of cubes of 4, 0 and 7 ; narcissistic number
- sum of three consecutive primes
- Mertens function returns 0
- Harshad number
- HTTP status code for "Proxy Authentication Required"
- Area code for Orlando, Florida
- Colloquial name for the Express Toll Route in Ontario
408
- Sum of four consecutive primes
- Sum of eight consecutive primes
- Pell number
- Mertens function returns 0
- Octagonal number
- Untouchable number
- Harshad number
- HTTP status code for "Request Timeout"
- Area code for the Silicon Valley
409
- A family of cleaning products, Formula 409
- An engine known as the Chevrolet 409, a 409 cubic inch W-series V8.
- The song "409" by The Beach Boys, inspired by the above engine
- HTTP status code for "Conflict"
- A Green Day song, 409 in Your Coffeemaker, included on their album 1,039/Smoothed Out Slappy Hours
- The area code for a part of eastern Texas
- Venice has 409 bridges.
- A Bullet For My Valentine song, "Room 409", from the album The Poison
- Joe Paterno holds the record as the winningest head coach in NCAA FBS with 409 victories.
410s
410
410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes, nontotient, Harshad number- HTTP status code for "Gone".
- Area Code 410, a telephone area code for the US State of Maryland, representing portions of the state including the Baltimore metropolitan area and the Eastern Shore.
411
- HTTP status code for "Length Required", slang for information
- The number of possible FM broadcasting frequencies between 87.50 and 108.00 MHz in 50 kHz spacing countries
412
- HTTP status code for "Precondition Failed"
- Area code for Pittsburgh, Pennsylvania.
- Fictitious Police Code for "Overacting" from "" - Stan Freeberg
413
- HTTP status code for "Request Entity Too Large"
- Area code for Western Massachusetts.
414
- HTTP status code for "Request-URI Too Long"
- Area code for Milwaukee, Wisconsin.
- The 414s, a group of hackers from Milwaukee, Wisconsin.
415
- HTTP status code for "Unsupported Media Type"
- 415 Records, a record label
- 415 refers to California Penal Code, section 415, pertaining to public fighting, public disturbance, and public use of offensive words likely to provoke an immediate violent reaction.
- Area code 415, a telephone area code for San Francisco, California
416
- HTTP status code for "Requested Range Not Satisfiable"
- 416 is also a nickname for the city of Toronto, based on the area code it used before overlay plans added two more area codes.
417
- HTTP status code for "Expectation Failed". Also the area code for southwestern Missouri, including Springfield, and Joplin.
418
- the number of Abrahadabra
- Hyper Text Coffee Pot Control Protocol status code for "Teapot" as an April Fools' joke.
419
- refers to the Nigerian advance fee fraud scheme
420s
420
421
- A prime number, sum of five consecutive primes, centered square number, also SMTP code meaning the transmission channel will be closing
- Country calling code for Slovakia
422
423
423 = 32 × 47, Mertens function returns 0, Harshad number- Country calling code for Liechtenstein
424
425
425 = 52 × 17, pentagonal number, sum of three consecutive primes, Mertens function returns 0, the second number that can be expressed as the sum of two squares in three different ways.- 425 is an area code in Washington State.
426
427
427 = 7 × 61, Mertens function returns 0428
428 = 22 × 107, Mertens function returns 0, nontotient- , a video game
429
430s
430
430 = 2 × 5 × 43, sphenic number, untouchable number431
A prime number, Sophie Germain prime, sum of seven consecutive primes, Chen prime, Eisenstein prime with no imaginary part- It is also the fourth Leyland prime of the second kind.
- The distance between Earth and the star Polaris in light years.
- Area code 431 is a telephone area code for Manitoba, Canada.
432
433
A prime number, Markov number, star number.- The perfect score in the game show Fifteen To One, only ever achieved once in over 2000 shows.
- 433 can refer to composer John Cage's composition 4′33″.
434
435
435 = 3 × 5 × 29, sphenic number, triangular number, hexagonal number, self number436
436 = 22 × 109, nontotient, noncototient437
437 = 19 × 23438
438 = 2 × 3 × 73, sphenic number, Smith number.- The "438 match" or "438 game" has been used by cricket media to describe the famous 2006 One Day International in which Australia scored a world record 434 in their innings, only to see South Africa respond in their innings with 438.
439
440s
440
440 = 23 × 5 × 11, the sum of the first seventeen prime numbers, Harshad number,- in hertz, the standard frequency to which most orchestras tune the pitch A above middle C. A few orchestras tune slightly flatter or sharper than this.
441
- 441 is the sum of the cubes of the first 6 natural numbers.
- 441 is a centered octagonal number, a refactorable number, and a Harshad number.
- 441 is the number of squares on a Super Scrabble board.
442
443
A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659.- In computing, it is the default port for HTTPS connections.
444
445
445 = 5 × 89446
446 = 2 × 223, nontotient, self number447
447 = 3 × 149448
448 = 26 × 7, untouchable number, refactorable number, Harshad number449
A prime number, sum of five consecutive primes, Chen prime, Eisenstein prime with no imaginary part, Proth prime. Also the largest number whose factorial is less than 101000450s
450
450 = 2 × 32 × 52, nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number,- SMTP code meaning the requested mail action was not carried out.
- A perfect score in Canadian five-pin bowling.
- An area code in Southern Quebec.
451
- The novel Fahrenheit 451 refers to the temperature in Fahrenheit that author Ray Bradbury understood to be the autoignition point of paper.
- HTTP status code for "Unavailable For Legal Reasons" a HTTP response error when the user requests an illegal resource, such as a web page censored by a government.
452
- SMTP code meaning that the requested mail action was not carried out because of insufficient system storage
453
454
454 = 2 × 227, nontotient, a Smith number455
455 = 5 × 7 × 13, sphenic number, tetrahedral number- 455 Rocket is the title of a song by Kathy Mattea
- 455 kHz is a standard intermediate frequency for analog superheterodyne AM broadcast band receivers.
456
457
- A prime number, sum of three consecutive primes, self number.
- The international standard frequency for radio avalanche transceivers.
458
459
459 = 33 × 17- 459 West 18th Street, a residential building at that address in Manhattan's West Chelsea neighborhood, built in 2008.
460s
460
460 = 22 × 5 × 23, centered triangular number, dodecagonal number, Harshad number, sum of twelve consecutive primes461
A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part462
462 = 2 × 3 × 7 × 11, binomial coefficient, sum of six consecutive primes, pronic number, sparsely totient number463
A prime number, sum of seven consecutive primes, centered heptagonal number,- Number of days in the synodic period of Ceres
- A common baseball double play
- A single by Buck 65, named after the baseball term
464
- In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase.
- See also: 4-6-4, the year AD 464.
465
466
466 = 2 × 233, noncototient467
A prime number, safe prime, sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part468
468 = 22 × 32 × 13, sum of ten consecutive primes, refactorable number, self number, Harshad number469
469 = 7 × 67, centered hexagonal number470s
470
470 = 2 × 5 × 47, sphenic number, nontotient, noncototient- In golf, 470 is the minimum length in yards from the tee to the hole on a Par 5.
- 470 is an Olympic class of sailing dinghy
471
472
472 = 23 × 59, nontotient, untouchable number, refactorable number473
473 = 11 × 43, sum of five consecutive primes474
474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes, nontotient, noncototient, sum of totient function for first 39 integers, untouchable number, nonagonal number475
475 = 52 × 19, 49-gonal number, member of the Mian–Chowla sequence.476
476 = 22 × 7 × 17, Harshad number477
477 = 32 × 53, pentagonal number478
478 = 2 × 239479
A prime number, safe prime, sum of nine consecutive primes, Chen prime, Eisenstein prime with no imaginary part, self number- Also an area code in the U.S. state of Arkansas.
480s
480
480 = 25 × 3 × 5, sum of a twin prime, sum of four consecutive primes, highly totient number, refactorable number, Harshad number481
481 = 13 × 37, octagonal number, centered square number, Harshad number482
482 = 2 × 241, nontotient, noncototient483
483 = 3 × 7 × 23, sphenic number, Smith number484
484 = 22 × 112 = 222, nontotient485
485 = 5 × 97- RS-485
486
- Shorthand for the Intel 80486 microprocessor chip.
487
- The only primes under 7.74 × 1013 that divide their own decimal repetends are 3, 487, and 56598313.
- Shorthand for the Intel 80487 floating point processor chip.
488
489
489 = 3 × 163, octahedral number490s
490
490 = 2 × 5 × 72, noncototient, sum of totient function for first 40 integers, partition number, self number.- The Christian Gospel of Matthew says that Jesus told Peter to forgive his brother "seventy times seven" times when his brother sins against him .
491