8444448 has 72 divisors (see below), whose sum is σ = 24324300. Its totient is φ = 2778624.

The previous prime is 8444419. The next prime is 8444467.

It is a happy number.

8444448 is nontrivially palindromic in base 10.

8444448 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8225424 + 219024 = 2868^2 + 468^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31258 + ... + 31526.

Almost surely, 2^8444448 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 8444448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162150).

8444448 is an abundant number, since it is smaller than the sum of its proper divisors (15879852).

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

8444448 is a wasteful number, since it uses less digits than its factorization.

8444448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 383 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 8444448 is about 2905.9332408023. The cubic root of 8444448 is about 203.6371867236.

The spelling of 8444448 in words is "eight million, four hundred forty-four thousand, four hundred forty-eight".