508002048 has 108 divisors (see below), whose sum is σ = 1515401160. Its totient is φ = 163473408.

The previous prime is 508002037. The next prime is 508002059. The reversal of 508002048 is 840200805.

It is an interprime number because it is at equal distance from previous prime (508002037) and next prime (508002059).

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, 63015 + ... + 70617.

Almost surely, 2^508002048 is an apocalyptic number.

508002048 is a gapful number since it is divisible by the number (58) 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 508002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757700580).

508002048 is an abundant number, since it is smaller than the sum of its proper divisors (1007399112).

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

508002048 is a wasteful number, since it uses less digits than its factorization.

508002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 508002048 is about 22538.9007717768. The cubic root of 508002048 is about 797.9122899058.

The spelling of 508002048 in words is "five hundred eight million, two thousand, forty-eight".