44115360 has 96 divisors (see below), whose sum is σ = 140978880. Its totient is φ = 11593728.

The previous prime is 44115341. The next prime is 44115367. The reversal of 44115360 is 6351144.

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 a self number, because there is not a number n which added to its sum of digits gives 44115360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44115367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34411 + ... + 35669.

It is an arithmetic number, because the mean of its divisors is an integer number (1468530).

Almost surely, 2^44115360 is an apocalyptic number.

44115360 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 44115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70489440).

44115360 is an abundant number, since it is smaller than the sum of its proper divisors (96863520).

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

44115360 is a wasteful number, since it uses less digits than its factorization.

44115360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 44115360 is about 6641.9394757857. The cubic root of 44115360 is about 353.3430953357.

The spelling of 44115360 in words is "forty-four million, one hundred fifteen thousand, three hundred sixty".