504058080 has 96 divisors (see below), whose sum is σ = 1621638144. Its totient is φ = 131549696.

The previous prime is 504058073. The next prime is 504058097. The reversal of 504058080 is 80850405.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11389 + ... + 33731.

It is an arithmetic number, because the mean of its divisors is an integer number (16892064).

Almost surely, 2^504058080 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 504058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810819072).

504058080 is an abundant number, since it is smaller than the sum of its proper divisors (1117580064).

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

504058080 is a wasteful number, since it uses less digits than its factorization.

504058080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22408 (or 22400 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 504058080 is about 22451.2378277903. The cubic root of 504058080 is about 795.8420096700.

It can be divided in two parts, 50405 and 8080, that added together give a palindrome (58485).

The spelling of 504058080 in words is "five hundred four million, fifty-eight thousand, eighty".