444416 has 48 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 184320.

The previous prime is 444403. The next prime is 444421. The reversal of 444416 is 614444.

It is a junction number, because it is equal to n+sod(n) for n = 444391 and 444400.

It is a congruent number.

It is an unprimeable number.

444416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14321 + ... + 14351.

It is an arithmetic number, because the mean of its divisors is an integer number (21840).

2⁴⁴⁴⁴¹⁶ 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 444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

444416 is an abundant number, since it is smaller than the sum of its proper divisors (603904).

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

444416 is an equidigital number, since it uses as much as digits as its factorization.

444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 40 counting only the distinct ones).

The product of its digits is 1536, while the sum is 23.

The square root of 444416 is about 666.6453329920. The cubic root of 444416 is about 76.3126547641.

The spelling of 444416 in words is "four hundred forty-four thousand, four hundred sixteen".