564415488 has 264 divisors, whose sum is σ = 2008811168. Its totient is φ = 148635648.

The previous prime is 564415447. The next prime is 564415507. The reversal of 564415488 is 884514465.

It is a happy number.

564415488 is a `hidden beast` number, since 5 + 64 + 41 + 548 + 8 = 666.

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, 838320 + ... + 838992.

Almost surely, 2^564415488 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 564415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004405584).

564415488 is an abundant number, since it is smaller than the sum of its proper divisors (1444395680).

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

564415488 is a wasteful number, since it uses less digits than its factorization.

564415488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 698 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 564415488 is about 23757.4301640560. The cubic root of 564415488 is about 826.4177583370.

The spelling of 564415488 in words is "five hundred sixty-four million, four hundred fifteen thousand, four hundred eighty-eight".