507224 has 32 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 231840.

The previous prime is 507217. The next prime is 507289. The reversal of 507224 is 422705.

507224 = 47² + 48² + ... + 117².

It is a junction number, because it is equal to n+sod(n) for n = 507196 and 507205.

It is a congruent number.

It is an unprimeable number.

507224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7109 + ... + 7179.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

2⁵⁰⁷²²⁴ is an apocalyptic number.

It is an amenable number.

507224 is an abundant number, since it is smaller than the sum of its proper divisors (529576).

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

507224 is a wasteful number, since it uses less digits than its factorization.

507224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 507224 is about 712.1966020700. The cubic root of 507224 is about 79.7504725096.

Adding to 507224 its reverse (422705), we get a palindrome (929929).

The spelling of 507224 in words is "five hundred seven thousand, two hundred twenty-four".