404004 has 24 divisors (see below), whose sum is σ = 953568. Its totient is φ = 133120.

The previous prime is 403993. The next prime is 404009. The reversal of 404004 is 400404.

404004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404009) by changing a digit.

404004 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 1444 + ... + 1700.

It is an arithmetic number, because the mean of its divisors is an integer number (39732).

2⁴⁰⁴⁰⁰⁴ is an apocalyptic number.

It is an amenable number.

404004 is an abundant number, since it is smaller than the sum of its proper divisors (549564).

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

404004 is a wasteful number, since it uses less digits than its factorization.

404004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 404004 is about 635.6130898589. The cubic root of 404004 is about 73.9256618946.

Adding to 404004 its reverse (400404), we get a palindrome (804408).

Subtracting from 404004 its reverse (400404), we obtain a square (3600 = 60²).

It can be divided in two parts, 40400 and 4, that added together give a palindrome (40404).

The spelling of 404004 in words is "four hundred four thousand, four", and thus it is an iban number.