508772160 has 336 divisors, whose sum is σ = 1917167616. Its totient is φ = 123088896.

The previous prime is 508772119. The next prime is 508772161. The reversal of 508772160 is 61277805.

508772160 is a `hidden beast` number, since 508 + 77 + 21 + 60 = 666.

It is a super-2 number, since 2×508772160² = 517698221582131200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (508772161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4006017 + ... + 4006143.

It is an arithmetic number, because the mean of its divisors is an integer number (5705856).

Almost surely, 2^508772160 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 508772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958583808).

508772160 is an abundant number, since it is smaller than the sum of its proper divisors (1408395456).

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

508772160 is a wasteful number, since it uses less digits than its factorization.

508772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 508772160 is about 22555.9783649480. The cubic root of 508772160 is about 798.3152880056.

The spelling of 508772160 in words is "five hundred eight million, seven hundred seventy-two thousand, one hundred sixty".