564296480 has 96 divisors (see below), whose sum is σ = 1459539648. Its totient is φ = 204467200.

The previous prime is 564296479. The next prime is 564296483. The reversal of 564296480 is 84692465.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (564296483) 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, 863834 + ... + 864486.

It is an arithmetic number, because the mean of its divisors is an integer number (15203538).

Almost surely, 2^564296480 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 564296480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729769824).

564296480 is an abundant number, since it is smaller than the sum of its proper divisors (895243168).

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

564296480 is a wasteful number, since it uses less digits than its factorization.

564296480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 564296480 is about 23754.9253840125. The cubic root of 564296480 is about 826.3596703741.

The spelling of 564296480 in words is "five hundred sixty-four million, two hundred ninety-six thousand, four hundred eighty".