508042368 has 160 divisors (see below), whose sum is σ = 1592118000. Its totient is φ = 160372224.

The previous prime is 508042363. The next prime is 508042373. The reversal of 508042368 is 863240805.

It is an interprime number because it is at equal distance from previous prime (508042363) and next prime (508042373).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (508042361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195703 + ... + 198281.

Almost surely, 2^508042368 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 508042368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796059000).

508042368 is an abundant number, since it is smaller than the sum of its proper divisors (1084075632).

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

508042368 is a wasteful number, since it uses less digits than its factorization.

508042368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 508042368 is about 22539.7952075878. The cubic root of 508042368 is about 797.9333993826.

The spelling of 508042368 in words is "five hundred eight million, forty-two thousand, three hundred sixty-eight".