4440384 has 84 divisors (see below), whose sum is σ = 13729716. Its totient is φ = 1363968.

The previous prime is 4440379. The next prime is 4440389. The reversal of 4440384 is 4830444.

It is an interprime number because it is at equal distance from previous prime (4440379) and next prime (4440389).

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 2822400 = 1272^2 + 1680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4440389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7192 + ... + 7784.

It is an arithmetic number, because the mean of its divisors is an integer number (163449).

Almost surely, 2^4440384 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 4440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864858).

4440384 is an abundant number, since it is smaller than the sum of its proper divisors (9289332).

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

4440384 is a wasteful number, since it uses less digits than its factorization.

4440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440384 is about 2107.2218677681. The cubic root of 4440384 is about 164.3640534475.

The spelling of 4440384 in words is "four million, four hundred forty thousand, three hundred eighty-four".