507942008 has 64 divisors (see below), whose sum is σ = 1110739200. Its totient is φ = 213269760.

The previous prime is 507941999. The next prime is 507942049. The reversal of 507942008 is 800249705.

It is a happy number.

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, 1241708 + ... + 1242116.

It is an arithmetic number, because the mean of its divisors is an integer number (17355300).

Almost surely, 2^507942008 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 507942008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555369600).

507942008 is an abundant number, since it is smaller than the sum of its proper divisors (602797192).

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

507942008 is a wasteful number, since it uses less digits than its factorization.

507942008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 507942008 is about 22537.5688129842. The cubic root of 507942008 is about 797.8808539818.

The spelling of 507942008 in words is "five hundred seven million, nine hundred forty-two thousand, eight".