404872 has 32 divisors (see below), whose sum is σ = 869400. Its totient is φ = 175104.

The previous prime is 404851. The next prime is 404941. The reversal of 404872 is 278404.

404872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 12996 = 626^2 + 114^2 .

It is an unprimeable number.

404872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1654 + ... + 1882.

2⁴⁰⁴⁸⁷² 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 404872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434700).

404872 is an abundant number, since it is smaller than the sum of its proper divisors (464528).

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

404872 is a wasteful number, since it uses less digits than its factorization.

404872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 404872 is about 636.2955288229. The cubic root of 404872 is about 73.9785669606.

The spelling of 404872 in words is "four hundred four thousand, eight hundred seventy-two".