492936 has 64 divisors (see below), whose sum is σ = 1382400. Its totient is φ = 145728.

The previous prime is 492911. The next prime is 492967. The reversal of 492936 is 639294.

492936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 492897 and 492906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10465 + ... + 10511.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2⁴⁹²⁹³⁶ is an apocalyptic number.

492936 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691200).

492936 is an abundant number, since it is smaller than the sum of its proper divisors (889464).

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

492936 is a wasteful number, since it uses less digits than its factorization.

492936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 94 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 492936 is about 702.0940107991. The cubic root of 492936 is about 78.9944983617.

The spelling of 492936 in words is "four hundred ninety-two thousand, nine hundred thirty-six".