404838 has 72 divisors (see below), whose sum is σ = 1120392. Its totient is φ = 108864.

The previous prime is 404837. The next prime is 404843. The reversal of 404838 is 838404.

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

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404837) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23806 + ... + 23822.

It is an arithmetic number, because the mean of its divisors is an integer number (15561).

2⁴⁰⁴⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196).

404838 is an abundant number, since it is smaller than the sum of its proper divisors (715554).

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

404838 is a wasteful number, since it uses less digits than its factorization.

404838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 404838 is about 636.2688111168. The cubic root of 404838 is about 73.9764960660.

The spelling of 404838 in words is "four hundred four thousand, eight hundred thirty-eight".