41904864 has 144 divisors (see below), whose sum is σ = 131262768. Its totient is φ = 13105152.

The previous prime is 41904857. The next prime is 41904869. The reversal of 41904864 is 46840914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41904869) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132034 + ... + 132350.

It is an arithmetic number, because the mean of its divisors is an integer number (911547).

Almost surely, 2^41904864 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 41904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65631384).

41904864 is an abundant number, since it is smaller than the sum of its proper divisors (89357904).

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

41904864 is a wasteful number, since it uses less digits than its factorization.

41904864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 41904864 is about 6473.3966354612. The cubic root of 41904864 is about 347.3400095075.

The spelling of 41904864 in words is "forty-one million, nine hundred four thousand, eight hundred sixty-four".