44311680 has 288 divisors, whose sum is σ = 179129340. Its totient is φ = 10063872.

The previous prime is 44311669. The next prime is 44311711. The reversal of 44311680 is 8611344.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 1382976 = 6552^2 + 1176^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 282162 + ... + 282318.

Almost surely, 2^44311680 is an apocalyptic number.

44311680 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 44311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89564670).

44311680 is an abundant number, since it is smaller than the sum of its proper divisors (134817660).

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

44311680 is a wasteful number, since it uses less digits than its factorization.

44311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 44311680 is about 6656.7018860694. The cubic root of 44311680 is about 353.8664630871.

The spelling of 44311680 in words is "forty-four million, three hundred eleven thousand, six hundred eighty".