41808900 has 144 divisors (see below), whose sum is σ = 141768704. Its totient is φ = 9313920.

The previous prime is 41808887. The next prime is 41808901. The reversal of 41808900 is 980814.

It is a happy number.

41808900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41808901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90069 + ... + 90531.

Almost surely, 2^41808900 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 41808900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70884352).

41808900 is an abundant number, since it is smaller than the sum of its proper divisors (99959804).

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

41808900 is a wasteful number, since it uses less digits than its factorization.

41808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 41808900 is about 6465.9802041145. The cubic root of 41808900 is about 347.0746655042.

The spelling of 41808900 in words is "forty-one million, eight hundred eight thousand, nine hundred".