44640960 has 336 divisors, whose sum is σ = 179990496. Its totient is φ = 9289728.

The previous prime is 44640949. The next prime is 44640983. The reversal of 44640960 is 6904644.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611484 + ... + 611556.

It is an arithmetic number, because the mean of its divisors is an integer number (535686).

Almost surely, 2^44640960 is an apocalyptic number.

44640960 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 44640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89995248).

44640960 is an abundant number, since it is smaller than the sum of its proper divisors (135349536).

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

44640960 is a wasteful number, since it uses less digits than its factorization.

44640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 44640960 is about 6681.3890771306. The cubic root of 44640960 is about 354.7408278282.

The spelling of 44640960 in words is "forty-four million, six hundred forty thousand, nine hundred sixty".