4416216 has 64 divisors (see below), whose sum is σ = 12794880. Its totient is φ = 1244160.

The previous prime is 4416193. The next prime is 4416221. The reversal of 4416216 is 6126144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1152) is a multiple of the sum of its prime factors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16161 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 2^4416216 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 4416216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397440).

4416216 is an abundant number, since it is smaller than the sum of its proper divisors (8378664).

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

4416216 is a wasteful number, since it uses less digits than its factorization.

4416216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 4416216 is about 2101.4794788434. The cubic root of 4416216 is about 164.0653120788.

The spelling of 4416216 in words is "four million, four hundred sixteen thousand, two hundred sixteen".