564784480 has 72 divisors (see below), whose sum is σ = 1444906512. Its totient is φ = 208525824.

The previous prime is 564784463. The next prime is 564784499. The reversal of 564784480 is 84487465.

It is a self number, because there is not a number n which added to its sum of digits gives 564784480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16597 + ... + 37483.

It is an arithmetic number, because the mean of its divisors is an integer number (20068146).

Almost surely, 2^564784480 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 564784480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722453256).

564784480 is an abundant number, since it is smaller than the sum of its proper divisors (880122032).

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

564784480 is a wasteful number, since it uses less digits than its factorization.

564784480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20928 (or 20907 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 46.

The square root of 564784480 is about 23765.1947183271. The cubic root of 564784480 is about 826.5978119319.

The spelling of 564784480 in words is "five hundred sixty-four million, seven hundred eighty-four thousand, four hundred eighty".