564305316 has 48 divisors (see below), whose sum is σ = 1371384000. Its totient is φ = 180380032.

The previous prime is 564305309. The next prime is 564305333. The reversal of 564305316 is 613503465.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46411 + ... + 57293.

It is an arithmetic number, because the mean of its divisors is an integer number (28570500).

Almost surely, 2^564305316 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 564305316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685692000).

564305316 is an abundant number, since it is smaller than the sum of its proper divisors (807078684).

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

564305316 is a wasteful number, since it uses less digits than its factorization.

564305316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11068 (or 11066 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 564305316 is about 23755.1113657672. Note that the first 3 decimals coincide. The cubic root of 564305316 is about 826.3639835181.

The spelling of 564305316 in words is "five hundred sixty-four million, three hundred five thousand, three hundred sixteen".