564109440 has 128 divisors (see below), whose sum is σ = 1807358400. Its totient is φ = 149655552.

The previous prime is 564109397. The next prime is 564109459. The reversal of 564109440 is 44901465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×564109440² = 636438920594227200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439039 + ... + 440321.

Almost surely, 2^564109440 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 564109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903679200).

564109440 is an abundant number, since it is smaller than the sum of its proper divisors (1243248960).

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

564109440 is a wasteful number, since it uses less digits than its factorization.

564109440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 564109440 is about 23750.9881899680. The cubic root of 564109440 is about 826.2683593947.

The spelling of 564109440 in words is "five hundred sixty-four million, one hundred nine thousand, four hundred forty".