493956 has 18 divisors (see below), whose sum is σ = 1248702. Its totient is φ = 164640.

The previous prime is 493939. The next prime is 493967. The reversal of 493956 is 659394.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 133956 = 600^2 + 366^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13721 = 493956 / (4 + 9 + 3 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 493956.

It is an unprimeable number.

493956 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 5 ways as a sum of consecutive naturals, for example, 6825 + ... + 6896.

2⁴⁹³⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

493956 is an abundant number, since it is smaller than the sum of its proper divisors (754746).

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

493956 is a wasteful number, since it uses less digits than its factorization.

493956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13726 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 493956 is about 702.8200338636. The cubic root of 493956 is about 79.0489468610.

It can be divided in two parts, 49 and 3956, that added together give a triangular number (4005 = T₈₉).

The spelling of 493956 in words is "four hundred ninety-three thousand, nine hundred fifty-six".