44408 has 32 divisors (see below), whose sum is σ = 104160. Its totient is φ = 17280.

The previous prime is 44389. The next prime is 44417. The reversal of 44408 is 80444.

44408 is nontrivially palindromic in base 3.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 44408.

It is a congruent number.

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, 698 + ... + 758.

It is an arithmetic number, because the mean of its divisors is an integer number (3255).

2⁴⁴⁴⁰⁸ is an apocalyptic number.

44408 is the 122-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52080).

44408 is an abundant number, since it is smaller than the sum of its proper divisors (59752).

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

44408 is a wasteful number, since it uses less digits than its factorization.

44408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 44408 is about 210.7320573619. The cubic root of 44408 is about 35.4122676582.

The spelling of 44408 in words is "forty-four thousand, four hundred eight".