504252 has 96 divisors (see below), whose sum is σ = 1612800. Its totient is φ = 133056.

The previous prime is 504247. The next prime is 504269. The reversal of 504252 is 252405.

504252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

504252 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 31 ways as a sum of consecutive naturals, for example, 17374 + ... + 17402.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2⁵⁰⁴²⁵² 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 504252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806400).

504252 is an abundant number, since it is smaller than the sum of its proper divisors (1108548).

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

504252 is a wasteful number, since it uses less digits than its factorization.

504252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 504252 is about 710.1070341857. The cubic root of 504252 is about 79.5944054720.

Adding to 504252 its reverse (252405), we get a palindrome (756657).

The spelling of 504252 in words is "five hundred four thousand, two hundred fifty-two".