492688 has 40 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 204672.

The previous prime is 492673. The next prime is 492707. The reversal of 492688 is 886294.

492688 is nontrivially palindromic in base 13.

492688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

492688 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 in 7 ways as a sum of consecutive naturals, for example, 5895 + ... + 5977.

2⁴⁹²⁶⁸⁸ 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 492688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562464).

492688 is an abundant number, since it is smaller than the sum of its proper divisors (632240).

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

492688 is a wasteful number, since it uses less digits than its factorization.

492688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 145 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 492688 is about 701.9173740548. The cubic root of 492688 is about 78.9812485538.

The spelling of 492688 in words is "four hundred ninety-two thousand, six hundred eighty-eight".