564384 has 24 divisors (see below), whose sum is σ = 1481760. Its totient is φ = 188096.

The previous prime is 564373. The next prime is 564391. The reversal of 564384 is 483465.

It is a tau number, because it is divible by the number of its divisors (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 564384.

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, 2844 + ... + 3035.

It is an arithmetic number, because the mean of its divisors is an integer number (61740).

2⁵⁶⁴³⁸⁴ is an apocalyptic number.

It is an amenable number.

564384 is an abundant number, since it is smaller than the sum of its proper divisors (917376).

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

564384 is a wasteful number, since it uses less digits than its factorization.

564384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5892 (or 5884 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 564384 is about 751.2549500669. The cubic root of 564384 is about 82.6402389797.

The spelling of 564384 in words is "five hundred sixty-four thousand, three hundred eighty-four".