504420 has 48 divisors (see below), whose sum is σ = 1615488. Its totient is φ = 115200.

The previous prime is 504403. The next prime is 504457. The reversal of 504420 is 24405.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 504420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (33656).

2⁵⁰⁴⁴²⁰ 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 504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807744).

504420 is an abundant number, since it is smaller than the sum of its proper divisors (1111068).

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

504420 is a wasteful number, since it uses less digits than its factorization.

504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 504420 is about 710.2253163609. The cubic root of 504420 is about 79.6032438936.

Subtracting from 504420 its sum of digits (15), we obtain a palindrome (504405).

Adding to 504420 its reverse (24405), we get a palindrome (528825).

The spelling of 504420 in words is "five hundred four thousand, four hundred twenty".