44112960 has 252 divisors, whose sum is σ = 164221668. Its totient is φ = 10862592.

The previous prime is 44112953. The next prime is 44112961. The reversal of 44112960 is 6921144.

It can be written as a sum of positive squares in 6 ways, for example, as 4875264 + 39237696 = 2208^2 + 6264^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44112961) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 832294 + ... + 832346.

Almost surely, 2^44112960 is an apocalyptic number.

44112960 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 44112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82110834).

44112960 is an abundant number, since it is smaller than the sum of its proper divisors (120108708).

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

44112960 is a wasteful number, since it uses less digits than its factorization.

44112960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 44112960 is about 6641.7588032087. The cubic root of 44112960 is about 353.3366875992.

The spelling of 44112960 in words is "forty-four million, one hundred twelve thousand, nine hundred sixty".