493387200 has 378 divisors, whose sum is σ = 1859712816. Its totient is φ = 128770560.

The previous prime is 493387199. The next prime is 493387261. The reversal of 493387200 is 2783394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10497577 + ... + 10497623.

Almost surely, 2^493387200 is an apocalyptic number.

493387200 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 493387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929856408).

493387200 is an abundant number, since it is smaller than the sum of its proper divisors (1366325616).

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

493387200 is an frugal number, since it uses more digits than its factorization.

493387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 493387200 is about 22212.3209052994. The cubic root of 493387200 is about 790.1859307067.

The spelling of 493387200 in words is "four hundred ninety-three million, three hundred eighty-seven thousand, two hundred".