493382717328400 has 45 divisors (see below), whose sum is σ = 1185353045679613. Its totient is φ = 197352909233600.

The previous prime is 493382717328301. The next prime is 493382717328467. The reversal of 493382717328400 is 4823717283394.

The square root of 493382717328400 is 22212220.

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

It can be written as a sum of positive squares in only one way, i.e., 177617778238224 + 315764939090176 = 13327332^2 + 17769776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 443689095 + ... + 444799705.

Almost surely, 2^{493382717328400} is an apocalyptic number.

493382717328400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

493382717328400 is the 22212220-th square number.

It is an amenable number.

493382717328400 is an abundant number, since it is smaller than the sum of its proper divisors (691970328351213).

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

493382717328400 is an frugal number, since it uses more digits than its factorization.

493382717328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221240 (or 1110618 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 61.

The spelling of 493382717328400 in words is "four hundred ninety-three trillion, three hundred eighty-two billion, seven hundred seventeen million, three hundred twenty-eight thousand, four hundred".