404128 has 24 divisors (see below), whose sum is σ = 811188. Its totient is φ = 198144.

The previous prime is 404123. The next prime is 404161. The reversal of 404128 is 821404.

404128 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 2 ways, for example, as 374544 + 29584 = 612^2 + 172^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2250 + ... + 2422.

2⁴⁰⁴¹²⁸ is an apocalyptic number.

It is an amenable number.

404128 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

404128 is a wasteful number, since it uses less digits than its factorization.

404128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 404128 is about 635.7106259927. The cubic root of 404128 is about 73.9332243976.

The spelling of 404128 in words is "four hundred four thousand, one hundred twenty-eight".