508607104 has 64 divisors (see below), whose sum is σ = 1055363400. Its totient is φ = 243855360.

The previous prime is 508607093. The next prime is 508607129. The reversal of 508607104 is 401706805.

It can be written as a sum of positive squares in 4 ways, for example, as 316840000 + 191767104 = 17800^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 671494 + ... + 672250.

Almost surely, 2^508607104 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 508607104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527681700).

508607104 is an abundant number, since it is smaller than the sum of its proper divisors (546756296).

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

508607104 is a wasteful number, since it uses less digits than its factorization.

508607104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 981 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 508607104 is about 22552.3192598899. The cubic root of 508607104 is about 798.2289487819.

The spelling of 508607104 in words is "five hundred eight million, six hundred seven thousand, one hundred four".