501364080 has 300 divisors, whose sum is σ = 2026890360. Its totient is φ = 114524928.

The previous prime is 501364079. The next prime is 501364091. The reversal of 501364080 is 80463105.

501364080 is a `hidden beast` number, since 5 + 0 + 13 + 640 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 316731 + ... + 318309.

Almost surely, 2^501364080 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 501364080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013445180).

501364080 is an abundant number, since it is smaller than the sum of its proper divisors (1525526280).

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

501364080 is a wasteful number, since it uses less digits than its factorization.

501364080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 501364080 is about 22391.1607559769. The cubic root of 501364080 is about 794.4216512751.

The spelling of 501364080 in words is "five hundred one million, three hundred sixty-four thousand, eighty".