564560464 has 40 divisors (see below), whose sum is σ = 1191251880. Its totient is φ = 257630208.

The previous prime is 564560449. The next prime is 564560483. The reversal of 564560464 is 464065465.

It can be written as a sum of positive squares in 4 ways, for example, as 16064064 + 548496400 = 4008^2 + 23420^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3264 + ... + 33760.

It is an arithmetic number, because the mean of its divisors is an integer number (29781297).

Almost surely, 2^564560464 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 564560464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595625940).

564560464 is an abundant number, since it is smaller than the sum of its proper divisors (626691416).

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

564560464 is a wasteful number, since it uses less digits than its factorization.

564560464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30607 (or 30601 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

The square root of 564560464 is about 23760.4811399096. The cubic root of 564560464 is about 826.4885102841.

The spelling of 564560464 in words is "five hundred sixty-four million, five hundred sixty thousand, four hundred sixty-four".