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Number

404

404 is a composite number, even, a calendar year.

Arithmetic Number Deficient Number Evil Number Happy Number Palindrome Recamán's Sequence Year

Historical context — 404 AD

Calendar year

Year 404 (CDIV) was a leap year starting on Friday of the Julian calendar.

Excerpt from Wikipedia (en) ↗ · Licensed CC BY-SA 4.0 · English fallback Read the full article on Wikipedia →

Notable events — 404 BC

Undated Sparta's victory at Aegospotami ends the Peloponnesian War; the Thirty Tyrants take power in Athens.

Events compiled from Wikipedia ↗ · Licensed CC BY-SA 4.0

Year facts

Year type: Leap year
Divisible by 4 and not by 100; February has 29 days.
Days in year: 366
ISO weeks: 53
Long year: contains 53 ISO weeks.
Started on: Thursday
January 1, 404
Ended on: Friday
December 31, 404
Friday the 13ths: 2
2 Friday the 13ths this year.
Decade: 400s
400–409
Century: 5th century
401–500
Millennium: 1st millennium
1–1000
Years ago: 1,622
1622 years before 2026.

In other calendars

Hebrew: 4164 / 4165 AM
Rosh Hashanah falls in September/October.
Chinese: Year of the zodiac:Wood zodiac:Dragon
Sexagenary cycle position 41 of 60. Lunar new year falls in late January / mid-February.
Buddhist Era: 947 BE
Counted from the parinirvana of the Buddha (Theravada / Thai / Sri Lankan convention).
Ethiopian: 396 / 397 ET
Year boundary at Enkutatash (September 11/12).
Indian National (Saka): 326 / 325 Saka
Indian national calendar; year starts in March.

Properties

Parity: Even
Digit count: 3
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: Yes
Bit width: 9 bits
Recamán's sequence: a(508) = 404
Square (n²): 163,216
Cube (n³): 65,939,264
Divisor count: 6
σ(n) — sum of divisors: 714
φ(n) — Euler's totient: 200
Sum of prime factors: 105

Primality

Prime factorization: 2 ² × 101

Nearest primes: 401 (−3) · 409 (+5)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 101 · 202 (half) · 404

Aliquot sum (sum of proper divisors): 310

Factor pairs (a × b = 404)

1 × 404

2 × 202

4 × 101

First multiples

404 · 808 (double) · 1,212 · 1,616 · 2,020 · 2,424 · 2,828 · 3,232 · 3,636 · 4,040

Sums & aliquot sequence

As a sum of two squares: 2² + 20²

As consecutive integers: 47 + 48 + … + 54

Aliquot sequence: 404 → 310 → 266 → 214 → 110 → 106 → 56 → 64 → 63 → 41 → 1 → 0 — terminates at zero

Representations

In words: four hundred four
Ordinal: 404th
Roman numeral: CDIV
Binary: 110010100
Octal: 624
Hexadecimal: 0x194
Base64: AZQ=
One's complement: 65,131 (16-bit)

In other bases

ternary (3) 112222

quaternary (4) 12110

quinary (5) 3104

senary (6) 1512

septenary (7) 1115

nonary (9) 488

undecimal (11) 338

duodecimal (12) 298

tridecimal (13) 251

tetradecimal (14) 20c

pentadecimal (15) 1be

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): υδʹ
Mayan (base 20): 𝋡·𝋠·𝋤
Chinese: 四百零四
Chinese (financial): 肆佰零肆

In other modern scripts

Eastern Arabic ٤٠٤ Devanagari ४०४ Bengali ৪০৪ Tamil ௪௦௪ Thai ๔๐๔ Tibetan ༤༠༤ Khmer ៤០៤ Lao ໔໐໔ Burmese ၄၀၄

Digit at this position in famous constants

π — Pi (π): Digit 404 = 0
e — Euler's number (e): Digit 404 = 8
φ — Golden ratio (φ): Digit 404 = 1
√2 — Pythagoras's (√2): Digit 404 = 3
ln 2 — Natural log of 2: Digit 404 = 6
γ — Euler-Mascheroni (γ): Digit 404 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 404, here are decompositions:

3 + 401 = 404
7 + 397 = 404
31 + 373 = 404
37 + 367 = 404
67 + 337 = 404
73 + 331 = 404
97 + 307 = 404
127 + 277 = 404

Showing the first eight; more decompositions exist.

Unicode codepoint

Ɣ

Latin Capital Letter Gamma

U+0194

Uppercase letter (Lu)

UTF-8 encoding: C6 94 (2 bytes).

Lookup U+0194 on Compart ↗ Lookup on FileFormat.Info ↗

HTTP status code

HTTP 404 Not Found — The requested resource could not be found.

4xx class: Client Error.

Hex color

#000194

RGB(0, 1, 148)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.1.148.

Address: 0.0.1.148
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.1.148

Unspecified address (0.0.0.0/8) — "this network" placeholder.

NANP area code 404

The number 404 is an active NANP area code (North American Numbering Plan).

Primary area: Atlanta
Region: Georgia
Country: United States

Most NANP area codes have multiple overlays in dense regions; the primary area listed is the historic/largest population center for this code.

Look up area code 404 ↗