564304 has 20 divisors (see below), whose sum is σ = 1177876. Its totient is φ = 260352.

The previous prime is 564301. The next prime is 564307. The reversal of 564304 is 403465.

It is an interprime number because it is at equal distance from previous prime (564301) and next prime (564307).

It can be written as a sum of positive squares in 2 ways, for example, as 360000 + 204304 = 600^2 + 452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1149 + ... + 1564.

2⁵⁶⁴³⁰⁴ is an apocalyptic number.

It is an amenable number.

564304 is an abundant number, since it is smaller than the sum of its proper divisors (613572).

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

564304 is a wasteful number, since it uses less digits than its factorization.

564304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 564304 is about 751.2017039384. The cubic root of 564304 is about 82.6363341138.

Adding to 564304 its reverse (403465), we get a palindrome (967769).

It can be divided in two parts, 564 and 304, that added together give a palindrome (868).

The spelling of 564304 in words is "five hundred sixty-four thousand, three hundred four".