564288000 has 160 divisors (see below), whose sum is σ = 1876754880. Its totient is φ = 150425600.

The previous prime is 564287989. The next prime is 564288001. The reversal of 564288000 is 882465.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (564288001) 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, 190531 + ... + 193469.

It is an arithmetic number, because the mean of its divisors is an integer number (11729718).

Almost surely, 2^564288000 is an apocalyptic number.

564288000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

564288000 is an abundant number, since it is smaller than the sum of its proper divisors (1312466880).

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

564288000 is an equidigital number, since it uses as much as digits as its factorization.

564288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2975 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 564288000 is about 23754.7468940420. The cubic root of 564288000 is about 826.3555309632.

It can be divided in two parts, 56 and 4288000, that added together give a triangular number (4288056 = T₂₉₂₈).

The spelling of 564288000 in words is "five hundred sixty-four million, two hundred eighty-eight thousand".