564772960 has 48 divisors (see below), whose sum is σ = 1342834416. Its totient is φ = 224460288.

The previous prime is 564772951. The next prime is 564772961. The reversal of 564772960 is 69277465.

It is a self number, because there is not a number n which added to its sum of digits gives 564772960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564772961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13879 + ... + 36361.

It is an arithmetic number, because the mean of its divisors is an integer number (27975717).

Almost surely, 2^564772960 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 564772960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671417208).

564772960 is an abundant number, since it is smaller than the sum of its proper divisors (778061456).

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

564772960 is a wasteful number, since it uses less digits than its factorization.

564772960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22655 (or 22647 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 46.

The square root of 564772960 is about 23764.9523458390. The cubic root of 564772960 is about 826.5921918108.

The spelling of 564772960 in words is "five hundred sixty-four million, seven hundred seventy-two thousand, nine hundred sixty".