404388 has 36 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 131376.

The previous prime is 404387. The next prime is 404389. The reversal of 404388 is 883404.

404388 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (404387) and next prime (404389).

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 404388.

It is not an unprimeable number, because it can be changed into a prime (404381) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1573 + ... + 1811.

It is an arithmetic number, because the mean of its divisors is an integer number (29120).

2⁴⁰⁴³⁸⁸ 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 404388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

404388 is an abundant number, since it is smaller than the sum of its proper divisors (643932).

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

404388 is a wasteful number, since it uses less digits than its factorization.

404388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 291 counting only the distinct ones).

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

The square root of 404388 is about 635.9150886714. The cubic root of 404388 is about 73.9490762378.

The spelling of 404388 in words is "four hundred four thousand, three hundred eighty-eight".