508286944848400 has 135 divisors (see below), whose sum is σ = 1233480298755189. Its totient is φ = 201283724160000.

The previous prime is 508286944848343. The next prime is 508286944848421. The reversal of 508286944848400 is 4848449682805.

The square root of 508286944848400 is 22545220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 350225323918864 + 158061620929536 = 18714308^2 + 12572256^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 508286944848400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45541338820 + ... + 45541349980.

Almost surely, 2^{508286944848400} is an apocalyptic number.

508286944848400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

508286944848400 is the 22545220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508286944848400

508286944848400 is an abundant number, since it is smaller than the sum of its proper divisors (725193353906789).

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

508286944848400 is an frugal number, since it uses more digits than its factorization.

508286944848400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22542 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 566231040, while the sum is 70.

The spelling of 508286944848400 in words is "five hundred eight trillion, two hundred eighty-six billion, nine hundred forty-four million, eight hundred forty-eight thousand, four hundred".