478024560 has 120 divisors (see below), whose sum is σ = 1728889344. Its totient is φ = 117665280.

The previous prime is 478024559. The next prime is 478024579. The reversal of 478024560 is 65420874.

478024560 is a `hidden beast` number, since 4 + 78 + 0 + 24 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16176 + ... + 34895.

Almost surely, 2^478024560 is an apocalyptic number.

478024560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

478024560 is an abundant number, since it is smaller than the sum of its proper divisors (1250864784).

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

478024560 is a wasteful number, since it uses less digits than its factorization.

478024560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51103 (or 51094 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 478024560 is about 21863.7727759872. The cubic root of 478024560 is about 781.8979421716.

The spelling of 478024560 in words is "four hundred seventy-eight million, twenty-four thousand, five hundred sixty".