478700560 has 40 divisors (see below), whose sum is σ = 1198595160. Its totient is φ = 176750592.

The previous prime is 478700557. The next prime is 478700581. The reversal of 478700560 is 65007874.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3111696 + 475588864 = 1764^2 + 21808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×478700560² = 458308452288627200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229105 + ... + 231184.

It is an arithmetic number, because the mean of its divisors is an integer number (29964879).

Almost surely, 2^478700560 is an apocalyptic number.

478700560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478700560 is an abundant number, since it is smaller than the sum of its proper divisors (719894600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

478700560 is a wasteful number, since it uses less digits than its factorization.

478700560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460315 (or 460309 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 478700560 is about 21879.2266773760. The cubic root of 478700560 is about 782.2663430811.

The spelling of 478700560 in words is "four hundred seventy-eight million, seven hundred thousand, five hundred sixty".