564313940 has 48 divisors (see below), whose sum is σ = 1222119360. Its totient is φ = 218749440.

The previous prime is 564313933. The next prime is 564313951. The reversal of 564313940 is 49313465.

It is a happy number.

564313940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 564313940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110156 + ... + 115164.

It is an arithmetic number, because the mean of its divisors is an integer number (25460820).

Almost surely, 2^564313940 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 564313940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611059680).

564313940 is an abundant number, since it is smaller than the sum of its proper divisors (657805420).

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

564313940 is a wasteful number, since it uses less digits than its factorization.

564313940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192 (or 5190 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 564313940 is about 23755.2928839027. The cubic root of 564313940 is about 826.3681931345.

The spelling of 564313940 in words is "five hundred sixty-four million, three hundred thirteen thousand, nine hundred forty".