564120384 has 112 divisors (see below), whose sum is σ = 1587983616. Its totient is φ = 176128000.

The previous prime is 564120377. The next prime is 564120413. The reversal of 564120384 is 483021465.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308649 + ... + 1309079.

Almost surely, 2^564120384 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 564120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793991808).

564120384 is an abundant number, since it is smaller than the sum of its proper divisors (1023863232).

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

564120384 is a wasteful number, since it uses less digits than its factorization.

564120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 564120384 is about 23751.2185792645. The cubic root of 564120384 is about 826.2737026974.

The spelling of 564120384 in words is "five hundred sixty-four million, one hundred twenty thousand, three hundred eighty-four".