441216 has 48 divisors (see below), whose sum is σ = 1272960. Its totient is φ = 146688.

The previous prime is 441193. The next prime is 441229. The reversal of 441216 is 612144.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

441216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 961 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (26520).

2⁴⁴¹²¹⁶ 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 441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636480).

441216 is an abundant number, since it is smaller than the sum of its proper divisors (831744).

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

441216 is a wasteful number, since it uses less digits than its factorization.

441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 388 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 441216 is about 664.2409201487. The cubic root of 441216 is about 76.1290512861.

The spelling of 441216 in words is "four hundred forty-one thousand, two hundred sixteen".