44838144 has 144 divisors (see below), whose sum is σ = 143080000. Its totient is φ = 13768704.

The previous prime is 44838113. The next prime is 44838151. The reversal of 44838144 is 44183844.

It is a tau number, because it is divible by the number of its divisors (144).

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 a junction number, because it is equal to n+sod(n) for n = 44838099 and 44838108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89607 + ... + 90105.

Almost surely, 2^44838144 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 44838144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540000).

44838144 is an abundant number, since it is smaller than the sum of its proper divisors (98241856).

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

44838144 is a wasteful number, since it uses less digits than its factorization.

44838144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 44838144 is about 6696.1290310149. The cubic root of 44838144 is about 355.2623703478.

The spelling of 44838144 in words is "forty-four million, eight hundred thirty-eight thousand, one hundred forty-four".