| Base | Representation |
|---|---|
| bin | 11100100110100… |
| … | …110111010000000 |
| 3 | 1020102222120120000 |
| 4 | 130212212322000 |
| 5 | 1440322223010 |
| 6 | 115341320000 |
| 7 | 14614636311 |
| oct | 3446467200 |
| 9 | 1212876500 |
| 10 | 479882880 |
| 11 | 226977124 |
| 12 | 114866000 |
| 13 | 78560589 |
| 14 | 47a3a608 |
| 15 | 2c1e27c0 |
| hex | 1c9a6e80 |
479882880 has 160 divisors (see below), whose sum is σ = 1713933540. Its totient is φ = 127954944.
The previous prime is 479882861. The next prime is 479882911. The reversal of 479882880 is 88288974.
It can be written as a sum of positive squares in 2 ways, for example, as 427000896 + 52881984 = 20664^2 + 7272^2 .
It is a tau number, because it is divible by the number of its divisors (160).
It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 47212 + ... + 56468.
Almost surely, 2479882880 is an apocalyptic number.
479882880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 479882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856966770).
479882880 is an abundant number, since it is smaller than the sum of its proper divisors (1234050660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
479882880 is an equidigital number, since it uses as much as digits as its factorization.
479882880 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9288 (or 9267 counting only the distinct ones).
The product of its (nonzero) digits is 2064384, while the sum is 54.
The square root of 479882880 is about 21906.2292510601. The cubic root of 479882880 is about 782.9098412067.
It can be divided in two parts, 4798 and 82880, that added together give a palindrome (87678).
The spelling of 479882880 in words is "four hundred seventy-nine million, eight hundred eighty-two thousand, eight hundred eighty".
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