404008 has 16 divisors (see below), whose sum is σ = 826560. Its totient is φ = 183600.

The previous prime is 403993. The next prime is 404009. The reversal of 404008 is 800404.

It is a junction number, because it is equal to n+sod(n) for n = 403982 and 404000.

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

404008 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 3 ways as a sum of consecutive naturals, for example, 2208 + ... + 2383.

It is an arithmetic number, because the mean of its divisors is an integer number (51660).

2⁴⁰⁴⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

404008 is an abundant number, since it is smaller than the sum of its proper divisors (422552).

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

404008 is a wasteful number, since it uses less digits than its factorization.

404008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 404008 is about 635.6162364194. The cubic root of 404008 is about 73.9259058705.

The spelling of 404008 in words is "four hundred four thousand, eight".