564417760 has 24 divisors (see below), whose sum is σ = 1333437336. Its totient is φ = 225767040.

The previous prime is 564417751. The next prime is 564417793. The reversal of 564417760 is 67714465.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1763646 + ... + 1763965.

It is an arithmetic number, because the mean of its divisors is an integer number (55559889).

Almost surely, 2^564417760 is an apocalyptic number.

It is an amenable number.

564417760 is an abundant number, since it is smaller than the sum of its proper divisors (769019576).

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

564417760 is a wasteful number, since it uses less digits than its factorization.

564417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3527626 (or 3527618 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 564417760 is about 23757.4779806275. The cubic root of 564417760 is about 826.4188672238.

The spelling of 564417760 in words is "five hundred sixty-four million, four hundred seventeen thousand, seven hundred sixty".