844080448 has 56 divisors (see below), whose sum is σ = 1723607424. Its totient is φ = 409881600.

The previous prime is 844080439. The next prime is 844080469.

844080448 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 844080448.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 710511 + ... + 711697.

It is an arithmetic number, because the mean of its divisors is an integer number (30778704).

Almost surely, 2^844080448 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 844080448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861803712).

844080448 is an abundant number, since it is smaller than the sum of its proper divisors (879526976).

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

844080448 is a wasteful number, since it uses less digits than its factorization.

844080448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The square root of 844080448 is about 29053.0626268557. The cubic root of 844080448 is about 945.0641308437.

It can be divided in two parts, 8440 and 80448, that added together give a palindrome (88888).

The spelling of 844080448 in words is "eight hundred forty-four million, eighty thousand, four hundred forty-eight".