441807144 has 96 divisors (see below), whose sum is σ = 1161164160. Its totient is φ = 140016640.

The previous prime is 441807143. The next prime is 441807151. The reversal of 441807144 is 441708144.

It is not an unprimeable number, because it can be changed into a prime (441807143) 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 23 ways as a sum of consecutive naturals, for example, 1896052 + ... + 1896284.

It is an arithmetic number, because the mean of its divisors is an integer number (12095460).

Almost surely, 2^441807144 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 441807144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580582080).

441807144 is an abundant number, since it is smaller than the sum of its proper divisors (719357016).

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

441807144 is a wasteful number, since it uses less digits than its factorization.

441807144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 441807144 is about 21019.2089289773. The cubic root of 441807144 is about 761.6303550871.

The spelling of 441807144 in words is "four hundred forty-one million, eight hundred seven thousand, one hundred forty-four".