508902290460 has 96 divisors (see below), whose sum is σ = 1584273660480. Its totient is φ = 135619670016.

The previous prime is 508902290459. The next prime is 508902290471. The reversal of 508902290460 is 64092209805.

508902290460 is a `hidden beast` number, since 5 + 0 + 89 + 0 + 22 + 90 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535204 + ... + 1142036.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850630).

Almost surely, 2^508902290460 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 508902290460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792136830240).

508902290460 is an abundant number, since it is smaller than the sum of its proper divisors (1075371370020).

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

508902290460 is a wasteful number, since it uses less digits than its factorization.

508902290460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608404 (or 608396 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 508902290460 in words is "five hundred eight billion, nine hundred two million, two hundred ninety thousand, four hundred sixty".