404892 has 48 divisors (see below), whose sum is σ = 1102080. Its totient is φ = 128304.

The previous prime is 404851. The next prime is 404941. The reversal of 404892 is 298404.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2403 + ... + 2565.

It is an arithmetic number, because the mean of its divisors is an integer number (22960).

2⁴⁰⁴⁸⁹² 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 404892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551040).

404892 is an abundant number, since it is smaller than the sum of its proper divisors (697188).

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

404892 is a wasteful number, since it uses less digits than its factorization.

404892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 404892 is about 636.3112445965. The cubic root of 404892 is about 73.9797850797.

It can be divided in two parts, 404 and 892, that added together give a 4-th power (1296 = 6⁴).

The spelling of 404892 in words is "four hundred four thousand, eight hundred ninety-two".