508661160 has 384 divisors, whose sum is σ = 1945296000. Its totient is φ = 105670656.

The previous prime is 508661159. The next prime is 508661183. The reversal of 508661160 is 61166805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3239802 + ... + 3239958.

It is an arithmetic number, because the mean of its divisors is an integer number (5065875).

Almost surely, 2^508661160 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 508661160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972648000).

508661160 is an abundant number, since it is smaller than the sum of its proper divisors (1436634840).

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

508661160 is a wasteful number, since it uses less digits than its factorization.

508661160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 508661160 is about 22553.5176857181. The cubic root of 508661160 is about 798.2572270182.

The spelling of 508661160 in words is "five hundred eight million, six hundred sixty-one thousand, one hundred sixty".