564356000 has 96 divisors (see below), whose sum is σ = 1493423568. Its totient is φ = 208358400.

The previous prime is 564355999. The next prime is 564356029. The reversal of 564356000 is 653465.

It can be written as a sum of positive squares in 8 ways, for example, as 8464 + 564347536 = 92^2 + 23756^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46574 + ... + 57426.

Almost surely, 2^564356000 is an apocalyptic number.

564356000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746711784).

564356000 is an abundant number, since it is smaller than the sum of its proper divisors (929067568).

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

564356000 is a wasteful number, since it uses less digits than its factorization.

564356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10873 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 564356000 is about 23756.1781438008. The cubic root of 564356000 is about 826.3887231860.

The spelling of 564356000 in words is "five hundred sixty-four million, three hundred fifty-six thousand".