504794880 has 216 divisors, whose sum is σ = 1807958880. Its totient is φ = 129884160.

The previous prime is 504794879. The next prime is 504794903. The reversal of 504794880 is 88497405.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333325 + ... + 334835.

It is an arithmetic number, because the mean of its divisors is an integer number (8370180).

Almost surely, 2^504794880 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 504794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903979440).

504794880 is an abundant number, since it is smaller than the sum of its proper divisors (1303164000).

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

504794880 is a wasteful number, since it uses less digits than its factorization.

504794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 504794880 is about 22467.6407306152. The cubic root of 504794880 is about 796.2295912726.

The spelling of 504794880 in words is "five hundred four million, seven hundred ninety-four thousand, eight hundred eighty".