493000579600 has 45 divisors (see below), whose sum is σ = 1184467631277. Its totient is φ = 197194614720.

The previous prime is 493000579583. The next prime is 493000579627. The reversal of 493000579600 is 6975000394.

The square root of 493000579600 is 702140.

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., 177480208656 + 315520370944 = 421284^2 + 561712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14025247 + ... + 14060353.

Almost surely, 2^493000579600 is an apocalyptic number.

493000579600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

493000579600 is the 702140-th square number.

It is an amenable number.

493000579600 is an abundant number, since it is smaller than the sum of its proper divisors (691467051677).

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

493000579600 is an frugal number, since it uses more digits than its factorization.

493000579600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70232 (or 35114 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

Adding to 493000579600 its reverse (6975000394), we get a palindrome (499975579994).

The spelling of 493000579600 in words is "four hundred ninety-three billion, five hundred seventy-nine thousand, six hundred".