4224384 has 96 divisors (see below), whose sum is σ = 12862200. Its totient is φ = 1327104.

The previous prime is 4224383. The next prime is 4224391. The reversal of 4224384 is 4834224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4224383) 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, 21792 + ... + 21984.

Almost surely, 2^4224384 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 4224384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431100).

4224384 is an abundant number, since it is smaller than the sum of its proper divisors (8637816).

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

4224384 is a wasteful number, since it uses less digits than its factorization.

4224384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 217 counting only the distinct ones).

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

The square root of 4224384 is about 2055.3306303366. The cubic root of 4224384 is about 161.6544991492.

The spelling of 4224384 in words is "four million, two hundred twenty-four thousand, three hundred eighty-four".