564303924 has 72 divisors (see below), whose sum is σ = 1499982120. Its totient is φ = 178617600.

The previous prime is 564303923. The next prime is 564303947. The reversal of 564303924 is 429303465.

564303924 is a `hidden beast` number, since 5 + 643 + 0 + 3 + 9 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 103428900 + 460875024 = 10170^2 + 21468^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564303923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59254 + ... + 68114.

It is an arithmetic number, because the mean of its divisors is an integer number (20833085).

Almost surely, 2^564303924 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 564303924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749991060).

564303924 is an abundant number, since it is smaller than the sum of its proper divisors (935678196).

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

564303924 is a wasteful number, since it uses less digits than its factorization.

564303924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8961 (or 8956 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 564303924 is about 23755.0820667915. The cubic root of 564303924 is about 826.3633040398.

The spelling of 564303924 in words is "five hundred sixty-four million, three hundred three thousand, nine hundred twenty-four".