493992 has 32 divisors (see below), whose sum is σ = 1372800. Its totient is φ = 164592.

The previous prime is 493979. The next prime is 493993. The reversal of 493992 is 299394.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (493993) by changing a digit.

493992 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, 928 + ... + 1359.

It is an arithmetic number, because the mean of its divisors is an integer number (42900).

2⁴⁹³⁹⁹² is an apocalyptic number.

It is an amenable number.

493992 is an abundant number, since it is smaller than the sum of its proper divisors (878808).

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

493992 is a wasteful number, since it uses less digits than its factorization.

493992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2292 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 493992 is about 702.8456445052. The cubic root of 493992 is about 79.0508672028.

It can be divided in two parts, 493 and 992, that added together give a triangular number (1485 = T₅₄).

The spelling of 493992 in words is "four hundred ninety-three thousand, nine hundred ninety-two".