493580800 has 60 divisors (see below), whose sum is σ = 1222916706. Its totient is φ = 197427200.

The previous prime is 493580741. The next prime is 493580807. The reversal of 493580800 is 8085394.

It can be written as a sum of positive squares in 3 ways, for example, as 300259584 + 193321216 = 17328^2 + 13904^2 .

It is a super-2 number, since 2×493580800² = 487244012257280000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 493580800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493580807) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 6481 + ... + 32080.

Almost surely, 2^493580800 is an apocalyptic number.

493580800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493580800 is an abundant number, since it is smaller than the sum of its proper divisors (729335906).

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

493580800 is an equidigital number, since it uses as much as digits as its factorization.

493580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38589 (or 38568 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 493580800 is about 22216.6784196018. The cubic root of 493580800 is about 790.2892707685.

The spelling of 493580800 in words is "four hundred ninety-three million, five hundred eighty thousand, eight hundred".