4409216 has 96 divisors (see below), whose sum is σ = 11046600. Its totient is φ = 1741824.

The previous prime is 4409183. The next prime is 4409221. The reversal of 4409216 is 6129044.

4409216 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119150 + ... + 119186.

Almost surely, 2^4409216 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 4409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523300).

4409216 is an abundant number, since it is smaller than the sum of its proper divisors (6637384).

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

4409216 is a wasteful number, since it uses less digits than its factorization.

4409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4409216 is about 2099.8133250363. The cubic root of 4409216 is about 163.9785813789.

Adding to 4409216 its product of nonzero digits (1728), we get a cube (4410944 = 164³).

The spelling of 4409216 in words is "four million, four hundred nine thousand, two hundred sixteen".