508088064 has 144 divisors (see below), whose sum is σ = 1489340160. Its totient is φ = 152494080.

The previous prime is 508088041. The next prime is 508088089. The reversal of 508088064 is 460880805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157157 + ... + 1157595.

It is an arithmetic number, because the mean of its divisors is an integer number (10342640).

Almost surely, 2^508088064 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 508088064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744670080).

508088064 is an abundant number, since it is smaller than the sum of its proper divisors (981252096).

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

508088064 is a wasteful number, since it uses less digits than its factorization.

508088064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 508088064 is about 22540.8088586013. The cubic root of 508088064 is about 797.9573221062.

The spelling of 508088064 in words is "five hundred eight million, eighty-eight thousand, sixty-four".