493645600 has 180 divisors, whose sum is σ = 1411351074. Its totient is φ = 168591360.

The previous prime is 493645591. The next prime is 493645651. The reversal of 493645600 is 6546394.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 473323536 + 20322064 = 21756^2 + 4508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 493645600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1920672 + ... + 1920928.

Almost surely, 2^493645600 is an apocalyptic number.

493645600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705675537).

493645600 is an abundant number, since it is smaller than the sum of its proper divisors (917705474).

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

493645600 is an equidigital number, since it uses as much as digits as its factorization.

493645600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 493645600 is about 22218.1367355591. The cubic root of 493645600 is about 790.3238537614.

The spelling of 493645600 in words is "four hundred ninety-three million, six hundred forty-five thousand, six hundred".