564144480 has 96 divisors (see below), whose sum is σ = 1974520800. Its totient is φ = 150437376.

The previous prime is 564144463. The next prime is 564144481. The reversal of 564144480 is 84441465.

It is a happy number.

564144480 is a `hidden beast` number, since 5 + 641 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564144481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60975 + ... + 69614.

It is an arithmetic number, because the mean of its divisors is an integer number (20567925).

Almost surely, 2^564144480 is an apocalyptic number.

It is an amenable number.

564144480 is an abundant number, since it is smaller than the sum of its proper divisors (1410376320).

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

564144480 is a wasteful number, since it uses less digits than its factorization.

564144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130613 (or 130599 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 564144480 is about 23751.7258320317. The cubic root of 564144480 is about 826.2854670939.

The spelling of 564144480 in words is "five hundred sixty-four million, one hundred forty-four thousand, four hundred eighty".