44115920 has 40 divisors (see below), whose sum is σ = 103285800. Its totient is φ = 17523200.

The previous prime is 44115919. The next prime is 44115923. The reversal of 44115920 is 2951144.

It can be written as a sum of positive squares in 4 ways, for example, as 132496 + 43983424 = 364^2 + 6632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 44115920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44115923) 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 7 ways as a sum of consecutive naturals, for example, 10070 + ... + 13770.

It is an arithmetic number, because the mean of its divisors is an integer number (2582145).

Almost surely, 2^44115920 is an apocalyptic number.

44115920 is a gapful number since it is divisible by the number (40) 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 44115920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51642900).

44115920 is an abundant number, since it is smaller than the sum of its proper divisors (59169880).

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

44115920 is a wasteful number, since it uses less digits than its factorization.

44115920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3857 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 44115920 is about 6641.9816320131. The cubic root of 44115920 is about 353.3445904408.

It can be divided in two parts, 441 and 15920, that added together give a palindrome (16361).

The spelling of 44115920 in words is "forty-four million, one hundred fifteen thousand, nine hundred twenty".