562304 has 32 divisors (see below), whose sum is σ = 1175040. Its totient is φ = 267520.

The previous prime is 562301. The next prime is 562307. The reversal of 562304 is 403265.

It is an interprime number because it is at equal distance from previous prime (562301) and next prime (562307).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×562304³ = 533377600708411392, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2849 + ... + 3039.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁵⁶²³⁰⁴ 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 562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587520).

562304 is an abundant number, since it is smaller than the sum of its proper divisors (612736).

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

562304 is a wasteful number, since it uses less digits than its factorization.

562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 562304 is about 749.8693219488. The cubic root of 562304 is about 82.5385922902.

Adding to 562304 its reverse (403265), we get a palindrome (965569).

The spelling of 562304 in words is "five hundred sixty-two thousand, three hundred four".