564745440 has 192 divisors, whose sum is σ = 2152894464. Its totient is φ = 121479168.

The previous prime is 564745397. The next prime is 564745451. The reversal of 564745440 is 44547465.

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, 52177 + ... + 62063.

It is an arithmetic number, because the mean of its divisors is an integer number (11212992).

Almost surely, 2^564745440 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 564745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076447232).

564745440 is an abundant number, since it is smaller than the sum of its proper divisors (1588149024).

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

564745440 is a wasteful number, since it uses less digits than its factorization.

564745440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9929 (or 9921 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The square root of 564745440 is about 23764.3733348894. The cubic root of 564745440 is about 826.5787656565.

The spelling of 564745440 in words is "five hundred sixty-four million, seven hundred forty-five thousand, four hundred forty".