844440960 has 128 divisors (see below), whose sum is σ = 2936424960. Its totient is φ = 204707840.

The previous prime is 844440953. The next prime is 844440967. The reversal of 844440960 is 69044448.

It is an interprime number because it is at equal distance from previous prime (844440953) and next prime (844440967).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844440967) 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, 1129 + ... + 41111.

It is an arithmetic number, because the mean of its divisors is an integer number (22940820).

Almost surely, 2^844440960 is an apocalyptic number.

844440960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468212480).

844440960 is an abundant number, since it is smaller than the sum of its proper divisors (2091984000).

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

844440960 is a wasteful number, since it uses less digits than its factorization.

844440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40016 (or 40004 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 844440960 is about 29059.2663362309. The cubic root of 844440960 is about 945.1986592788.

The spelling of 844440960 in words is "eight hundred forty-four million, four hundred forty thousand, nine hundred sixty".