564002816 has 72 divisors (see below), whose sum is σ = 1218440664. Its totient is φ = 259522560.

The previous prime is 564002807. The next prime is 564002927. The reversal of 564002816 is 618200465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1703771 + ... + 1704101.

It is an arithmetic number, because the mean of its divisors is an integer number (16922787).

Almost surely, 2^564002816 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 564002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609220332).

564002816 is an abundant number, since it is smaller than the sum of its proper divisors (654437848).

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

564002816 is an frugal number, since it uses more digits than its factorization.

564002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 564002816 is about 23748.7434614971. The cubic root of 564002816 is about 826.2162976359.

The spelling of 564002816 in words is "five hundred sixty-four million, two thousand, eight hundred sixteen".