564504460 has 48 divisors (see below), whose sum is σ = 1288425600. Its totient is φ = 206509824.

The previous prime is 564504443. The next prime is 564504467. The reversal of 564504460 is 64405465.

It is not an unprimeable number, because it can be changed into a prime (564504467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18381 + ... + 38299.

It is an arithmetic number, because the mean of its divisors is an integer number (26842200).

Almost surely, 2^564504460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564504460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644212800).

564504460 is an abundant number, since it is smaller than the sum of its proper divisors (723921140).

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

564504460 is a wasteful number, since it uses less digits than its factorization.

564504460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20048 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 564504460 is about 23759.3025991926. The cubic root of 564504460 is about 826.4611803545.

The spelling of 564504460 in words is "five hundred sixty-four million, five hundred four thousand, four hundred sixty".