478,464
478,464 is a composite number, even.
478,464 (four hundred seventy-eight thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3 × 7 × 89. Its proper divisors sum to 993,216, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x74D00.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 33
- Digit product
- 21,504
- Digital root
- 6
- Palindrome
- No
- Bit width
- 19 bits
- Reversed
- 464,874
- Square (n²)
- 228,927,799,296
- Cube (n³)
- 109,533,710,562,361,344
- Divisor count
- 72
- σ(n) — sum of divisors
- 1,471,680
- φ(n) — Euler's totient
- 135,168
- Sum of prime factors
- 115
Primality
Prime factorization: 2 8 × 3 × 7 × 89
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√478,464 = [691; (1, 2, 2, 5, 1, 1, 1, 3, 2, 1, 3, 3, 1, 1, 3, 1, 1, 3, 2, 4, 2, 1, 6, 1, …)]
Representations
- In words
- four hundred seventy-eight thousand four hundred sixty-four
- Ordinal
- 478464th
- Binary
- 1110100110100000000
- Octal
- 1646400
- Hexadecimal
- 0x74D00
- Base64
- B00A
- One's complement
- 4,294,488,831 (32-bit)
- Scientific notation
- 4.78464 × 10⁵
- As a duration
- 478,464 s = 5 days, 12 hours, 54 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵υοηυξδʹ
- Chinese
- 四十七萬八千四百六十四
- Chinese (financial)
- 肆拾柒萬捌仟肆佰陸拾肆
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 478464, here are decompositions:
- 5 + 478459 = 478464
- 11 + 478453 = 478464
- 13 + 478451 = 478464
- 23 + 478441 = 478464
- 31 + 478433 = 478464
- 37 + 478427 = 478464
- 43 + 478421 = 478464
- 47 + 478417 = 478464
Showing the first eight; more decompositions exist.
As an unsigned 32-bit integer, this is the IPv4 address 0.7.77.0.
- Address
- 0.7.77.0
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.7.77.0
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 478,464 and was likely granted around 1892.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 478464 first appears in π at position 186,439 of the decimal expansion (the 186,439ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.