493752 has 32 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 141024.

The previous prime is 493747. The next prime is 493777. The reversal of 493752 is 257394.

It is a congruent number.

It is an unprimeable number.

493752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1302 + ... + 1637.

It is an arithmetic number, because the mean of its divisors is an integer number (44100).

2⁴⁹³⁷⁵² is an apocalyptic number.

493752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

493752 is an abundant number, since it is smaller than the sum of its proper divisors (917448).

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

493752 is a wasteful number, since it uses less digits than its factorization.

493752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2951 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 493752 is about 702.6748892625. The cubic root of 493752 is about 79.0380631618.

The spelling of 493752 in words is "four hundred ninety-three thousand, seven hundred fifty-two".