566304 has 48 divisors (see below), whose sum is σ = 1578528. Its totient is φ = 177152.

The previous prime is 566273. The next prime is 566311. The reversal of 566304 is 403665.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

566304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1459 + ... + 1805.

It is an arithmetic number, because the mean of its divisors is an integer number (32886).

2⁵⁶⁶³⁰⁴ 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 566304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789264).

566304 is an abundant number, since it is smaller than the sum of its proper divisors (1012224).

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

566304 is a wasteful number, since it uses less digits than its factorization.

566304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 566304 is about 752.5317269059. The cubic root of 566304 is about 82.7338452657.

Adding to 566304 its reverse (403665), we get a palindrome (969969).

The spelling of 566304 in words is "five hundred sixty-six thousand, three hundred four".