4099904 has 42 divisors (see below), whose sum is σ = 8599170. Its totient is φ = 1937152.

The previous prime is 4099903. The next prime is 4099943.

4099904 is nontrivially palindromic in base 10.

4099904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3534400 + 565504 = 1880^2 + 752^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4099903) 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 5 ways as a sum of consecutive naturals, for example, 87209 + ... + 87255.

Almost surely, 2^4099904 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 4099904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299585).

4099904 is an abundant number, since it is smaller than the sum of its proper divisors (4499266).

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

4099904 is an equidigital number, since it uses as much as digits as its factorization.

4099904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 4099904 is about 2024.8219674826. The cubic root of 4099904 is about 160.0508171917.

The spelling of 4099904 in words is "four million, ninety-nine thousand, nine hundred four".