564400353 has 32 divisors (see below), whose sum is σ = 857088000. Its totient is φ = 327254400.

The previous prime is 564400351. The next prime is 564400363. The reversal of 564400353 is 353004465.

It is not a de Polignac number, because 564400353 - 2¹ = 564400351 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 564400353.

It is not an unprimeable number, because it can be changed into a prime (564400351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87948 + ... + 94146.

It is an arithmetic number, because the mean of its divisors is an integer number (26784000).

Almost surely, 2^564400353 is an apocalyptic number.

It is an amenable number.

564400353 is a deficient number, since it is larger than the sum of its proper divisors (292687647).

564400353 is a wasteful number, since it uses less digits than its factorization.

564400353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6333.

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 564400353 is about 23757.1116299941. Note that the first 3 decimals coincide. The cubic root of 564400353 is about 826.4103713767.

The spelling of 564400353 in words is "five hundred sixty-four million, four hundred thousand, three hundred fifty-three".