44845120 has 56 divisors (see below), whose sum is σ = 107359704. Its totient is φ = 17842176.

The previous prime is 44845109. The next prime is 44845121. The reversal of 44845120 is 2154844.

It can be written as a sum of positive squares in 4 ways, for example, as 5607424 + 39237696 = 2368^2 + 6264^2 .

It is a super-2 number, since 2×44845120² = 4022169575628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44845121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112762 + ... + 113158.

Almost surely, 2^44845120 is an apocalyptic number.

44845120 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 44845120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53679852).

44845120 is an abundant number, since it is smaller than the sum of its proper divisors (62514584).

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

44845120 is a wasteful number, since it uses less digits than its factorization.

44845120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The square root of 44845120 is about 6696.6499087230. The cubic root of 44845120 is about 355.2807935144.

Adding to 44845120 its reverse (2154844), we get a palindrome (46999964).

It can be divided in two parts, 4484 and 5120, that added together give a square (9604 = 98²).

The spelling of 44845120 in words is "forty-four million, eight hundred forty-five thousand, one hundred twenty".