506413008 has 60 divisors (see below), whose sum is σ = 1428464128. Its totient is φ = 167469120.

The previous prime is 506412997. The next prime is 506413013. The reversal of 506413008 is 800314605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4443 + ... + 32133.

Almost surely, 2^506413008 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 506413008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714232064).

506413008 is an abundant number, since it is smaller than the sum of its proper divisors (922051120).

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

506413008 is a wasteful number, since it uses less digits than its factorization.

506413008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27832 (or 27823 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 506413008 is about 22503.6221084518. The cubic root of 506413008 is about 797.0794593607.

The spelling of 506413008 in words is "five hundred six million, four hundred thirteen thousand, eight".