44320416 has 96 divisors (see below), whose sum is σ = 134483328. Its totient is φ = 12518400.

The previous prime is 44320403. The next prime is 44320427. The reversal of 44320416 is 61402344.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67546 + ... + 68198.

It is an arithmetic number, because the mean of its divisors is an integer number (1400868).

Almost surely, 2^44320416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67241664).

44320416 is an abundant number, since it is smaller than the sum of its proper divisors (90162912).

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

44320416 is a wasteful number, since it uses less digits than its factorization.

44320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 44320416 is about 6657.3580345359. The cubic root of 44320416 is about 353.8897163565.

The spelling of 44320416 in words is "forty-four million, three hundred twenty thousand, four hundred sixteen".