493688 has 32 divisors (see below), whose sum is σ = 1028160. Its totient is φ = 220800.

The previous prime is 493657. The next prime is 493693. The reversal of 493688 is 886394.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493688.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4838 + ... + 4938.

It is an arithmetic number, because the mean of its divisors is an integer number (32130).

2⁴⁹³⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080).

493688 is an abundant number, since it is smaller than the sum of its proper divisors (534472).

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

493688 is a wasteful number, since it uses less digits than its factorization.

493688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 41472, while the sum is 38.

The square root of 493688 is about 702.6293475226. The cubic root of 493688 is about 79.0346480501.

The spelling of 493688 in words is "four hundred ninety-three thousand, six hundred eighty-eight".