508242336 has 144 divisors (see below), whose sum is σ = 1620311616. Its totient is φ = 136617984.

The previous prime is 508242311. The next prime is 508242359. The reversal of 508242336 is 633242805.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 508242297 and 508242306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192900 + ... + 195516.

It is an arithmetic number, because the mean of its divisors is an integer number (11252164).

Almost surely, 2^508242336 is an apocalyptic number.

508242336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508242336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810155808).

508242336 is an abundant number, since it is smaller than the sum of its proper divisors (1112069280).

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

508242336 is a wasteful number, since it uses less digits than its factorization.

508242336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 508242336 is about 22544.2306588626. The cubic root of 508242336 is about 798.0380758335.

The spelling of 508242336 in words is "five hundred eight million, two hundred forty-two thousand, three hundred thirty-six".