563304 has 48 divisors (see below), whose sum is σ = 1641600. Its totient is φ = 160608.

The previous prime is 563287. The next prime is 563327. The reversal of 563304 is 403365.

It is a super-2 number, since 2×563304² = 634622792832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

563304 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 (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 937 + ... + 1415.

It is an arithmetic number, because the mean of its divisors is an integer number (34200).

2⁵⁶³³⁰⁴ 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 563304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820800).

563304 is an abundant number, since it is smaller than the sum of its proper divisors (1078296).

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

563304 is a wasteful number, since it uses less digits than its factorization.

563304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 563304 is about 750.5358086061. The cubic root of 563304 is about 82.5874921212.

Adding to 563304 its reverse (403365), we get a palindrome (966669).

The spelling of 563304 in words is "five hundred sixty-three thousand, three hundred four".