844441104 has 80 divisors (see below), whose sum is σ = 2399346432. Its totient is φ = 254290944.

The previous prime is 844441097. The next prime is 844441109. The reversal of 844441104 is 401144448.

It is not an unprimeable number, because it can be changed into a prime (844441109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14932 + ... + 43724.

Almost surely, 2^844441104 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 844441104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199673216).

844441104 is an abundant number, since it is smaller than the sum of its proper divisors (1554905328).

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

844441104 is a wasteful number, since it uses less digits than its factorization.

844441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28864 (or 28858 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The square root of 844441104 is about 29059.2688139258. The cubic root of 844441104 is about 945.1987130061.

The spelling of 844441104 in words is "eight hundred forty-four million, four hundred forty-one thousand, one hundred four".