559504 has 45 divisors (see below), whose sum is σ = 1265761. Its totient is φ = 239360.

The previous prime is 559483. The next prime is 559511. The reversal of 559504 is 405955.

The square root of 559504 is 748.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 435600 + 123904 = 660^2 + 352^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32904 + ... + 32920.

2⁵⁵⁹⁵⁰⁴ is an apocalyptic number.

559504 is the 748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 559504

559504 is an abundant number, since it is smaller than the sum of its proper divisors (706257).

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

559504 is a wasteful number, since it uses less digits than its factorization.

559504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The cubic root of 559504 is about 82.4013635995.

It can be divided in two parts, 55 and 9504, that added together give a palindrome (9559).

The spelling of 559504 in words is "five hundred fifty-nine thousand, five hundred four".