564420960 has 192 divisors, whose sum is σ = 2001101760. Its totient is φ = 150418944.

The previous prime is 564420959. The next prime is 564420971. The reversal of 564420960 is 69024465.

564420960 is a `hidden beast` number, since 5 + 644 + 2 + 0 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349114 + ... + 350726.

It is an arithmetic number, because the mean of its divisors is an integer number (10422405).

Almost surely, 2^564420960 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 564420960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000550880).

564420960 is an abundant number, since it is smaller than the sum of its proper divisors (1436680800).

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

564420960 is an equidigital number, since it uses as much as digits as its factorization.

564420960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 564420960 is about 23757.5453277480. The cubic root of 564420960 is about 826.4204290312.

The spelling of 564420960 in words is "five hundred sixty-four million, four hundred twenty thousand, nine hundred sixty".