844444448 has 48 divisors (see below), whose sum is σ = 1738993536. Its totient is φ = 402885120.

The previous prime is 844444429. The next prime is 844444457.

844444448 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 844444399 and 844444408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 369068 + ... + 371348.

It is an arithmetic number, because the mean of its divisors is an integer number (36229032).

Almost surely, 2^844444448 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 844444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869496768).

844444448 is an abundant number, since it is smaller than the sum of its proper divisors (894549088).

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

844444448 is a wasteful number, since it uses less digits than its factorization.

844444448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 44.

The square root of 844444448 is about 29059.3263514487. The cubic root of 844444448 is about 945.1999606717.

The spelling of 844444448 in words is "eight hundred forty-four million, four hundred forty-four thousand, four hundred forty-eight".