508946832 has 120 divisors (see below), whose sum is σ = 1467822720. Its totient is φ = 164540160.

The previous prime is 508946819. The next prime is 508946843. The reversal of 508946832 is 238649805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 940482 + ... + 941022.

It is an arithmetic number, because the mean of its divisors is an integer number (12231856).

Almost surely, 2^508946832 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 508946832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733911360).

508946832 is an abundant number, since it is smaller than the sum of its proper divisors (958875888).

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

508946832 is a wasteful number, since it uses less digits than its factorization.

508946832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 508946832 is about 22559.8499995013. The cubic root of 508946832 is about 798.4066369329.

The spelling of 508946832 in words is "five hundred eight million, nine hundred forty-six thousand, eight hundred thirty-two".