493664 has 12 divisors (see below), whose sum is σ = 971964. Its totient is φ = 246816.

The previous prime is 493657. The next prime is 493693. The reversal of 493664 is 466394.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 15427 = 493664 / (4 + 9 + 3 + 6 + 6 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 493664.

It is a congruent number.

It is an unprimeable number.

493664 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 as a sum of consecutive naturals, namely, 7682 + ... + 7745.

It is an arithmetic number, because the mean of its divisors is an integer number (80997).

2⁴⁹³⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

493664 is a deficient number, since it is larger than the sum of its proper divisors (478300).

493664 is a wasteful number, since it uses less digits than its factorization.

493664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437 (or 15429 counting only the distinct ones).

The product of its digits is 15552, while the sum is 32.

The square root of 493664 is about 702.6122686091. The cubic root of 493664 is about 79.0333673072.

The spelling of 493664 in words is "four hundred ninety-three thousand, six hundred sixty-four".