564636480 has 112 divisors (see below), whose sum is σ = 1850648064. Its totient is φ = 145704960.

The previous prime is 564636469. The next prime is 564636493. The reversal of 564636480 is 84636465.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20274 + ... + 39246.

Almost surely, 2^564636480 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 564636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925324032).

564636480 is an abundant number, since it is smaller than the sum of its proper divisors (1286011584).

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

564636480 is a wasteful number, since it uses less digits than its factorization.

564636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19024 (or 19014 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 564636480 is about 23762.0807169743. The cubic root of 564636480 is about 826.5256031703.

The spelling of 564636480 in words is "five hundred sixty-four million, six hundred thirty-six thousand, four hundred eighty".