844131456 has 192 divisors, whose sum is σ = 2879647680. Its totient is φ = 241118208.

The previous prime is 844131433. The next prime is 844131461. The reversal of 844131456 is 654131448.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 844131456.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215790 + ... + 219666.

It is an arithmetic number, because the mean of its divisors is an integer number (14998165).

Almost surely, 2^844131456 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 844131456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439823840).

844131456 is an abundant number, since it is smaller than the sum of its proper divisors (2035516224).

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

844131456 is an equidigital number, since it uses as much as digits as its factorization.

844131456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3889 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 844131456 is about 29053.9404556422. The cubic root of 844131456 is about 945.0831672836.

The spelling of 844131456 in words is "eight hundred forty-four million, one hundred thirty-one thousand, four hundred fifty-six".