564732416 has 80 divisors (see below), whose sum is σ = 1169951904. Its totient is φ = 272154624.

The previous prime is 564732407. The next prime is 564732419. The reversal of 564732416 is 614237465.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 564732416.

It is not an unprimeable number, because it can be changed into a prime (564732419) 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, 2487695 + ... + 2487921.

Almost surely, 2^564732416 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 564732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584975952).

564732416 is an abundant number, since it is smaller than the sum of its proper divisors (605219488).

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

564732416 is a wasteful number, since it uses less digits than its factorization.

564732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 385 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 564732416 is about 23764.0993096730. The cubic root of 564732416 is about 826.5724114989.

The spelling of 564732416 in words is "five hundred sixty-four million, seven hundred thirty-two thousand, four hundred sixteen".