4444416 has 72 divisors (see below), whose sum is σ = 13163360. Its totient is φ = 1479168.

The previous prime is 4444409. The next prime is 4444469. The reversal of 4444416 is 6144444.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a self number, because there is not a number n which added to its sum of digits gives 4444416.

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 7 ways as a sum of consecutive naturals, for example, 6591 + ... + 7233.

Almost surely, 2^4444416 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 4444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581680).

4444416 is an abundant number, since it is smaller than the sum of its proper divisors (8718944).

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

4444416 is an equidigital number, since it uses as much as digits as its factorization.

4444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 4444416 is about 2108.1783605758. The cubic root of 4444416 is about 164.4137875378.

The spelling of 4444416 in words is "four million, four hundred forty-four thousand, four hundred sixteen".