504224 has 24 divisors (see below), whose sum is σ = 1135008. Its totient is φ = 216000.

The previous prime is 504221. The next prime is 504247. The reversal of 504224 is 422405.

It is not an unprimeable number, because it can be changed into a prime (504221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 902 + ... + 1349.

It is an arithmetic number, because the mean of its divisors is an integer number (47292).

2⁵⁰⁴²²⁴ is an apocalyptic number.

It is an amenable number.

504224 is an abundant number, since it is smaller than the sum of its proper divisors (630784).

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

504224 is a wasteful number, since it uses less digits than its factorization.

504224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 504224 is about 710.0873185743. The cubic root of 504224 is about 79.5929322109.

Adding to 504224 its reverse (422405), we get a palindrome (926629).

It can be divided in two parts, 504 and 224, that multiplied together give a square (112896 = 336²).

The spelling of 504224 in words is "five hundred four thousand, two hundred twenty-four".