564178920 has 128 divisors (see below), whose sum is σ = 1788272640. Its totient is φ = 142168320.

The previous prime is 564178907. The next prime is 564178931. The reversal of 564178920 is 29871465.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158197 + ... + 161723.

It is an arithmetic number, because the mean of its divisors is an integer number (13970880).

Almost surely, 2^564178920 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 564178920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

564178920 is an abundant number, since it is smaller than the sum of its proper divisors (1224093720).

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

564178920 is a wasteful number, since it uses less digits than its factorization.

564178920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3611 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 564178920 is about 23752.4508209153. The cubic root of 564178920 is about 826.3022811628.

The spelling of 564178920 in words is "five hundred sixty-four million, one hundred seventy-eight thousand, nine hundred twenty".