564108480 has 504 divisors, whose sum is σ = 2247869520. Its totient is φ = 129392640.

The previous prime is 564108469. The next prime is 564108481. The reversal of 564108480 is 84801465.

564108480 is a `hidden beast` number, since 5 + 641 + 0 + 8 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (564108481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9247650 + ... + 9247710.

Almost surely, 2^564108480 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 564108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123934760).

564108480 is an abundant number, since it is smaller than the sum of its proper divisors (1683761040).

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

564108480 is a wasteful number, since it uses less digits than its factorization.

564108480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 564108480 is about 23750.9679802740. The cubic root of 564108480 is about 826.2678906806.

The spelling of 564108480 in words is "five hundred sixty-four million, one hundred eight thousand, four hundred eighty".