503568 has 60 divisors (see below), whose sum is σ = 1523340. Its totient is φ = 154368.

The previous prime is 503563. The next prime is 503593. The reversal of 503568 is 865305.

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 451584 = 228^2 + 672^2 .

It is not an unprimeable number, because it can be changed into a prime (503563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1738 + ... + 2006.

It is an arithmetic number, because the mean of its divisors is an integer number (25389).

2⁵⁰³⁵⁶⁸ 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 503568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761670).

503568 is an abundant number, since it is smaller than the sum of its proper divisors (1019772).

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

503568 is a wasteful number, since it uses less digits than its factorization.

503568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 503568 is about 709.6252532147. The cubic root of 503568 is about 79.5584001887.

The spelling of 503568 in words is "five hundred three thousand, five hundred sixty-eight".