44960 has 24 divisors (see below), whose sum is σ = 106596. Its totient is φ = 17920.

The previous prime is 44959. The next prime is 44963. The reversal of 44960 is 6944.

44960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44944 + 16 = 212^2 + 4^2 .

It is a plaindrome in base 14.

It is a zygodrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 44960.

It is not an unprimeable number, because it can be changed into a prime (44963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20 + ... + 300.

2⁴⁴⁹⁶⁰ is an apocalyptic number.

44960 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 44960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53298).

44960 is an abundant number, since it is smaller than the sum of its proper divisors (61636).

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

44960 is a wasteful number, since it uses less digits than its factorization.

44960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 44960 is about 212.0377324912. The cubic root of 44960 is about 35.5583909776.

The spelling of 44960 in words is "forty-four thousand, nine hundred sixty".