493800128 has 56 divisors (see below), whose sum is σ = 997415328. Its totient is φ = 242528256.

The previous prime is 493800127. The next prime is 493800143. The reversal of 493800128 is 821008394.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (493800127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1140200 + ... + 1140632.

It is an arithmetic number, because the mean of its divisors is an integer number (17810988).

Almost surely, 2^493800128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498707664).

493800128 is an abundant number, since it is smaller than the sum of its proper divisors (503615200).

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

493800128 is a wasteful number, since it uses less digits than its factorization.

493800128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 493800128 is about 22221.6139827871. The cubic root of 493800128 is about 790.4063113135.

The spelling of 493800128 in words is "four hundred ninety-three million, eight hundred thousand, one hundred twenty-eight".