4448444 has 72 divisors (see below), whose sum is σ = 10635744. Its totient is φ = 1584000.

The previous prime is 4448443. The next prime is 4448447.

4448444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4448444² = 39577308042272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4448444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4448443) 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 23 ways as a sum of consecutive naturals, for example, 43994 + ... + 44094.

Almost surely, 2^4448444 is an apocalyptic number.

4448444 is a gapful number since it is divisible by the number (44) 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 4448444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5317872).

4448444 is an abundant number, since it is smaller than the sum of its proper divisors (6187300).

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

4448444 is a wasteful number, since it uses less digits than its factorization.

4448444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The square root of 4448444 is about 2109.1334713574. The cubic root of 4448444 is about 164.4634422631.

It can be divided in two parts, 444 and 8444, that added together give a palindrome (8888).

The spelling of 4448444 in words is "four million, four hundred forty-eight thousand, four hundred forty-four".