508085120 has 192 divisors, whose sum is σ = 1341491760. Its totient is φ = 183828480.

The previous prime is 508085089. The next prime is 508085197. The reversal of 508085120 is 21580805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7583327 + ... + 7583393.

Almost surely, 2^508085120 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 508085120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670745880).

508085120 is an abundant number, since it is smaller than the sum of its proper divisors (833406640).

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

508085120 is a wasteful number, since it uses less digits than its factorization.

508085120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 29.

The square root of 508085120 is about 22540.7435547277. The cubic root of 508085120 is about 797.9557809096.

The spelling of 508085120 in words is "five hundred eight million, eighty-five thousand, one hundred twenty".