507904248 has 64 divisors (see below), whose sum is σ = 1322956800. Its totient is φ = 162311040.

The previous prime is 507904171. The next prime is 507904253. The reversal of 507904248 is 842409705.

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, 77965 + ... + 84227.

It is an arithmetic number, because the mean of its divisors is an integer number (20671200).

Almost surely, 2^507904248 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 507904248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661478400).

507904248 is an abundant number, since it is smaller than the sum of its proper divisors (815052552).

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

507904248 is a wasteful number, since it uses less digits than its factorization.

507904248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 507904248 is about 22536.7310850531. The cubic root of 507904248 is about 797.8610822183.

The spelling of 507904248 in words is "five hundred seven million, nine hundred four thousand, two hundred forty-eight".