2008404 has 36 divisors (see below), whose sum is σ = 5189184. Its totient is φ = 654672.

The previous prime is 2008403. The next prime is 2008421. The reversal of 2008404 is 4048002.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099 + ... + 2285.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

2^2008404 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 2008404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592).

2008404 is an abundant number, since it is smaller than the sum of its proper divisors (3180780).

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

2008404 is a wasteful number, since it uses less digits than its factorization.

2008404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2008404 is about 1417.1817102969. The cubic root of 2008404 is about 126.1683313269.

The spelling of 2008404 in words is "two million, eight thousand, four hundred four".