44361216 has 80 divisors (see below), whose sum is σ = 131353200. Its totient is φ = 14782464.

The previous prime is 44361209. The next prime is 44361223. The reversal of 44361216 is 61216344.

44361216 is a `hidden beast` number, since 4 + 43 + 612 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (44361209) and next prime (44361223).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 44361216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12220 + ... + 15428.

It is an arithmetic number, because the mean of its divisors is an integer number (1641915).

Almost surely, 2^44361216 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 44361216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65676600).

44361216 is an abundant number, since it is smaller than the sum of its proper divisors (86991984).

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

44361216 is an equidigital number, since it uses as much as digits as its factorization.

44361216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3214 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 44361216 is about 6660.4216082768. The cubic root of 44361216 is about 353.9982763490.

The spelling of 44361216 in words is "forty-four million, three hundred sixty-one thousand, two hundred sixteen".