4416384 has 128 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1198080.

The previous prime is 4416371. The next prime is 4416409. The reversal of 4416384 is 4836144.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×4416384³ (a number of 21 digits) contains 333 as substring.

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

Its product of digits (9216) is a multiple of the sum of its prime divisors (96).

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, 83302 + ... + 83354.

It is an arithmetic number, because the mean of its divisors is an integer number (110160).

Almost surely, 2^4416384 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 4416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

4416384 is an abundant number, since it is smaller than the sum of its proper divisors (9684096).

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

4416384 is a wasteful number, since it uses less digits than its factorization.

4416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 96 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 4416384 is about 2101.5194503026. The cubic root of 4416384 is about 164.0673924890.

The spelling of 4416384 in words is "four million, four hundred sixteen thousand, three hundred eighty-four".