493120 has 56 divisors (see below), whose sum is σ = 1243584. Its totient is φ = 185856.

The previous prime is 493111. The next prime is 493121. The reversal of 493120 is 21394.

493120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (493121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7327 + ... + 7393.

2⁴⁹³¹²⁰ is an apocalyptic number.

493120 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 493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621792).

493120 is an abundant number, since it is smaller than the sum of its proper divisors (750464).

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

493120 is a wasteful number, since it uses less digits than its factorization.

493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 493120 is about 702.2250351561. The cubic root of 493120 is about 79.0043259929.

The spelling of 493120 in words is "four hundred ninety-three thousand, one hundred twenty".