504480 has 48 divisors (see below), whose sum is σ = 1590624. Its totient is φ = 134400.

The previous prime is 504479. The next prime is 504521. The reversal of 504480 is 84405.

504480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46 + ... + 1005.

It is an arithmetic number, because the mean of its divisors is an integer number (33138).

2⁵⁰⁴⁴⁸⁰ 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 504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795312).

504480 is an abundant number, since it is smaller than the sum of its proper divisors (1086144).

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

504480 is a wasteful number, since it uses less digits than its factorization.

504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 504480 is about 710.2675552213. The cubic root of 504480 is about 79.6063999972.

Adding to 504480 its reverse (84405), we get a palindrome (588885).

The spelling of 504480 in words is "five hundred four thousand, four hundred eighty".