564297984 has 108 divisors (see below), whose sum is σ = 1635054876. Its totient is φ = 187170816.

The previous prime is 564297977. The next prime is 564298039. The reversal of 564297984 is 489792465.

564297984 is a `hidden beast` number, since 564 + 2 + 9 + 79 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435974400 + 128323584 = 20880^2 + 11328^2 .

Its product of digits (4354560) is a multiple of the sum of its prime divisors (1215).

It is a self number, because there is not a number n which added to its sum of digits gives 564297984.

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 11 ways as a sum of consecutive naturals, for example, 591652 + ... + 592604.

It is an arithmetic number, because the mean of its divisors is an integer number (15139397).

Almost surely, 2^564297984 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 564297984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817527438).

564297984 is an abundant number, since it is smaller than the sum of its proper divisors (1070756892).

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

564297984 is a wasteful number, since it uses less digits than its factorization.

564297984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1215 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 564297984 is about 23754.9570405842. The cubic root of 564297984 is about 826.3604045295.

The spelling of 564297984 in words is "five hundred sixty-four million, two hundred ninety-seven thousand, nine hundred eighty-four".