800492 has 48 divisors (see below), whose sum is σ = 1838592. Its totient is φ = 295680.

The previous prime is 800483. The next prime is 800497. The reversal of 800492 is 294008.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

800492 is a modest number, since divided by 492 gives 8 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7028 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁸⁰⁰⁴⁹² 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 800492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919296).

800492 is an abundant number, since it is smaller than the sum of its proper divisors (1038100).

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

800492 is a wasteful number, since it uses less digits than its factorization.

800492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

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

The square root of 800492 is about 894.7021850873. The cubic root of 800492 is about 92.8508032866.

The spelling of 800492 in words is "eight hundred thousand, four hundred ninety-two".