508668336 has 200 divisors, whose sum is σ = 1659322368. Its totient is φ = 149040000.

The previous prime is 508668331. The next prime is 508668359. The reversal of 508668336 is 633866805.

508668336 is a `hidden beast` number, since 508 + 66 + 83 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 508668291 and 508668300.

It is not an unprimeable number, because it can be changed into a prime (508668331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 441361 + ... + 442511.

Almost surely, 2^508668336 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 508668336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829661184).

508668336 is an abundant number, since it is smaller than the sum of its proper divisors (1150654032).

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

508668336 is a wasteful number, since it uses less digits than its factorization.

508668336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 508668336 is about 22553.6767734221. The cubic root of 508668336 is about 798.2609808379.

The spelling of 508668336 in words is "five hundred eight million, six hundred sixty-eight thousand, three hundred thirty-six".