44045120 has 126 divisors (see below), whose sum is σ = 124351542. Its totient is φ = 14816256.

The previous prime is 44045119. The next prime is 44045123. The reversal of 44045120 is 2154044.

It can be written as a sum of positive squares in 3 ways, for example, as 12054784 + 31990336 = 3472^2 + 5656^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 44045092 and 44045101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44045123) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 831014 + ... + 831066.

It is an arithmetic number, because the mean of its divisors is an integer number (986917).

Almost surely, 2^44045120 is an apocalyptic number.

44045120 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 44045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62175771).

44045120 is an abundant number, since it is smaller than the sum of its proper divisors (80306422).

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

44045120 is an equidigital number, since it uses as much as digits as its factorization.

44045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 44045120 is about 6636.6497572194. The cubic root of 44045120 is about 353.1554660325.

Multiplying 44045120 by its sum of digits (20), we get a square (880902400 = 29680²).

44045120 divided by its sum of digits (20) gives a square (2202256 = 1484²).

Adding to 44045120 its reverse (2154044), we get a palindrome (46199164).

The spelling of 44045120 in words is "forty-four million, forty-five thousand, one hundred twenty".