493772800 has 84 divisors (see below), whose sum is σ = 1224989676. Its totient is φ = 197427200.

The previous prime is 493772729. The next prime is 493772813. The reversal of 493772800 is 8277394.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203595 + ... + 206005.

Almost surely, 2^493772800 is an apocalyptic number.

493772800 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 493772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612494838).

493772800 is an abundant number, since it is smaller than the sum of its proper divisors (731216876).

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

493772800 is an equidigital number, since it uses as much as digits as its factorization.

493772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2447 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 493772800 is about 22220.9990774492. Note that the first 3 decimals coincide. The cubic root of 493772800 is about 790.3917300954.

The spelling of 493772800 in words is "four hundred ninety-three million, seven hundred seventy-two thousand, eight hundred".