508972080 has 160 divisors (see below), whose sum is σ = 1630252800. Its totient is φ = 131281920.

The previous prime is 508972067. The next prime is 508972099. The reversal of 508972080 is 80279805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1537515 + ... + 1537845.

It is an arithmetic number, because the mean of its divisors is an integer number (10189080).

Almost surely, 2^508972080 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 508972080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815126400).

508972080 is an abundant number, since it is smaller than the sum of its proper divisors (1121280720).

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

508972080 is a wasteful number, since it uses less digits than its factorization.

508972080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 508972080 is about 22560.4095707503. The cubic root of 508972080 is about 798.4198392533.

The spelling of 508972080 in words is "five hundred eight million, nine hundred seventy-two thousand, eighty".