44448 has 24 divisors (see below), whose sum is σ = 116928. Its totient is φ = 14784.

The previous prime is 44417. The next prime is 44449. The reversal of 44448 is 84444.

44448 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 10 and base 14.

It is not an unprimeable number, because it can be changed into a prime (44449) by changing a digit.

44448 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 136 + ... + 327.

It is an arithmetic number, because the mean of its divisors is an integer number (4872).

2⁴⁴⁴⁴⁸ is an apocalyptic number.

44448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

44448 is an abundant number, since it is smaller than the sum of its proper divisors (72480).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58464).

44448 is a wasteful number, since it uses less digits than its factorization.

44448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 468 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 44448 is about 210.8269432497. The cubic root of 44448 is about 35.4228968663.

It can be divided in two parts, 444 and 48, that multiplied together give a palindrome (21312).

The spelling of 44448 in words is "forty-four thousand, four hundred forty-eight".