508396420 has 48 divisors (see below), whose sum is σ = 1226953728. Its totient is φ = 173335680.

The previous prime is 508396411. The next prime is 508396457. The reversal of 508396420 is 24693805.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 508396420.

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 15 ways as a sum of consecutive naturals, for example, 15309 + ... + 35371.

It is an arithmetic number, because the mean of its divisors is an integer number (25561536).

Almost surely, 2^508396420 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 508396420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864).

508396420 is an abundant number, since it is smaller than the sum of its proper divisors (718557308).

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

508396420 is a wasteful number, since it uses less digits than its factorization.

508396420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20260 (or 20258 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 508396420 is about 22547.6477708873. The cubic root of 508396420 is about 798.1187148422.

The spelling of 508396420 in words is "five hundred eight million, three hundred ninety-six thousand, four hundred twenty".