492800 has 108 divisors (see below), whose sum is σ = 1520736. Its totient is φ = 153600.

The previous prime is 492799. The next prime is 492839. The reversal of 492800 is 8294.

It is a nialpdrome in base 14.

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 492800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44795 + ... + 44805.

2⁴⁹²⁸⁰⁰ is an apocalyptic number.

492800 is a gapful number since it is divisible by the number (40) 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 492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760368).

492800 is an abundant number, since it is smaller than the sum of its proper divisors (1027936).

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

492800 is a wasteful number, since it uses less digits than its factorization.

492800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 492800 is about 701.9971509914. The cubic root of 492800 is about 78.9872328885.

The spelling of 492800 in words is "four hundred ninety-two thousand, eight hundred".