4133904 has 40 divisors (see below), whose sum is σ = 10838592. Its totient is φ = 1357440.

The previous prime is 4133893. The next prime is 4133911. The reversal of 4133904 is 4093314.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2802 + ... + 4014.

Almost surely, 2^4133904 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 4133904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419296).

4133904 is an abundant number, since it is smaller than the sum of its proper divisors (6704688).

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

4133904 is a wasteful number, since it uses less digits than its factorization.

4133904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 4133904 is about 2033.2004328152. The cubic root of 4133904 is about 160.4920270493.

The spelling of 4133904 in words is "four million, one hundred thirty-three thousand, nine hundred four".