4005904 has 40 divisors (see below), whose sum is σ = 9070848. Its totient is φ = 1678080.

The previous prime is 4005901. The next prime is 4005917. The reversal of 4005904 is 4095004.

It is not an unprimeable number, because it can be changed into a prime (4005901) 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 7 ways as a sum of consecutive naturals, for example, 4884 + ... + 5644.

Almost surely, 2^4005904 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 4005904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535424).

4005904 is an abundant number, since it is smaller than the sum of its proper divisors (5064944).

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

4005904 is a wasteful number, since it uses less digits than its factorization.

4005904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4005904 is about 2001.4754557576. The cubic root of 4005904 is about 158.8181669348.

The spelling of 4005904 in words is "four million, five thousand, nine hundred four".