44811844 has 72 divisors (see below), whose sum is σ = 101844288. Its totient is φ = 16759680.

The previous prime is 44811791. The next prime is 44811917.

44811844 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 258942 + ... + 259114.

It is an arithmetic number, because the mean of its divisors is an integer number (1414504).

Almost surely, 2^44811844 is an apocalyptic number.

44811844 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 44811844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50922144).

44811844 is an abundant number, since it is smaller than the sum of its proper divisors (57032444).

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

44811844 is a wasteful number, since it uses less digits than its factorization.

44811844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 222 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 44811844 is about 6694.1649217808. The cubic root of 44811844 is about 355.1928965553.

The spelling of 44811844 in words is "forty-four million, eight hundred eleven thousand, eight hundred forty-four".