564660480 has 72 divisors (see below), whose sum is σ = 1803396672. Its totient is φ = 150575104.

The previous prime is 564660461. The next prime is 564660493. The reversal of 564660480 is 84066465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69684 + ... + 77363.

It is an arithmetic number, because the mean of its divisors is an integer number (25047176).

Almost surely, 2^564660480 is an apocalyptic number.

It is an amenable number.

564660480 is an abundant number, since it is smaller than the sum of its proper divisors (1238736192).

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

564660480 is a wasteful number, since it uses less digits than its factorization.

564660480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147071 (or 147057 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 564660480 is about 23762.5857178885. The cubic root of 564660480 is about 826.5373135563.

The spelling of 564660480 in words is "five hundred sixty-four million, six hundred sixty thousand, four hundred eighty".