564399360 has 288 divisors, whose sum is σ = 2289934080. Its totient is φ = 128950272.

The previous prime is 564399347. The next prime is 564399403. The reversal of 564399360 is 63993465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 240754 + ... + 243086.

It is an arithmetic number, because the mean of its divisors is an integer number (7951160).

Almost surely, 2^564399360 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 564399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144967040).

564399360 is an abundant number, since it is smaller than the sum of its proper divisors (1725534720).

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

564399360 is a wasteful number, since it uses less digits than its factorization.

564399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 564399360 is about 23757.0907309797. The cubic root of 564399360 is about 826.4098867171.

The spelling of 564399360 in words is "five hundred sixty-four million, three hundred ninety-nine thousand, three hundred sixty".