564376 has 32 divisors (see below), whose sum is σ = 1152000. Its totient is φ = 258336.

The previous prime is 564373. The next prime is 564391. The reversal of 564376 is 673465.

564376 = T₁₅₃ + T₁₅₄ + ... + T₁₉₀.

564376 is nontrivially palindromic in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7105 + ... + 7183.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁵⁶⁴³⁷⁶ is an apocalyptic number.

564376 is the 376-th decagonal number.

It is an amenable number.

564376 is an abundant number, since it is smaller than the sum of its proper divisors (587624).

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

564376 is a wasteful number, since it uses less digits than its factorization.

564376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its digits is 15120, while the sum is 31.

The square root of 564376 is about 751.2496256239. The cubic root of 564376 is about 82.6398485097.

The spelling of 564376 in words is "five hundred sixty-four thousand, three hundred seventy-six".