41904 has 40 divisors (see below), whose sum is σ = 121520. Its totient is φ = 13824.

The previous prime is 41903. The next prime is 41911. The reversal of 41904 is 40914.

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

It is an Ulam number.

It is a nialpdrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41904.

It is not an unprimeable number, because it can be changed into a prime (41903) 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, 384 + ... + 480.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2⁴¹⁹⁰⁴ 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 41904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60760).

41904 is an abundant number, since it is smaller than the sum of its proper divisors (79616).

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

41904 is a wasteful number, since it uses less digits than its factorization.

41904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 41904 is about 204.7046653108. The cubic root of 41904 is about 34.7337622324.

Subtracting from 41904 its reverse (40914), we obtain a triangular number (990 = T₄₄).

The spelling of 41904 in words is "forty-one thousand, nine hundred four".