478,400
478,400 is a composite number, even.
478,400 (four hundred seventy-eight thousand four hundred) is an even 6-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 5² × 13 × 23. Its proper divisors sum to 844,432, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74CC0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 23
- Digit product
- 0
- Digital root
- 5
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 4,874
- Square (n²)
- 228,866,560,000
- Cube (n³)
- 109,489,762,304,000,000
- Divisor count
- 84
- σ(n) — sum of divisors
- 1,322,832
- φ(n) — Euler's totient
- 168,960
- Sum of prime factors
- 58
Primality
Prime factorization: 2 6 × 5 2 × 13 × 23
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,400 = [691; (1, 1, 1, 54, 1, 1, 1, 1382)]
Period length 8 — the block in parentheses repeats forever.
Representations
- In words
- four hundred seventy-eight thousand four hundred
- Ordinal
- 478400th
- Binary
- 1110100110011000000
- Octal
- 1646300
- Hexadecimal
- 0x74CC0
- Base64
- B0zA
- One's complement
- 4,294,488,895 (32-bit)
- Scientific notation
- 4.784 × 10⁵
- As a duration
- 478,400 s = 5 days, 12 hours, 53 minutes, 20 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢
- Greek (Milesian)
- ͵υοηυʹ
- Chinese
- 四十七萬八千四百
- Chinese (financial)
- 肆拾柒萬捌仟肆佰
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478400, here are decompositions:
- 61 + 478339 = 478400
- 79 + 478321 = 478400
- 127 + 478273 = 478400
- 157 + 478243 = 478400
- 193 + 478207 = 478400
- 211 + 478189 = 478400
- 229 + 478171 = 478400
- 271 + 478129 = 478400
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.76.192.
- Address
- 0.7.76.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.76.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 478,400 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.