404900 has 18 divisors (see below), whose sum is σ = 878850. Its totient is φ = 161920.

The previous prime is 404851. The next prime is 404941. The reversal of 404900 is 9404.

It can be written as a sum of positive squares in 3 ways, for example, as 5476 + 399424 = 74^2 + 632^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404900.

It is an unprimeable number.

404900 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 5 ways as a sum of consecutive naturals, for example, 1925 + ... + 2124.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁴⁰⁴⁹⁰⁰ is an apocalyptic number.

It is an amenable number.

404900 is an abundant number, since it is smaller than the sum of its proper divisors (473950).

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

404900 is a wasteful number, since it uses less digits than its factorization.

404900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 404900 is about 636.3175307973. The cubic root of 404900 is about 73.9802723161.

The spelling of 404900 in words is "four hundred four thousand, nine hundred".