4441824 has 96 divisors (see below), whose sum is σ = 13335840. Its totient is φ = 1437696.

The previous prime is 4441823. The next prime is 4441841. The reversal of 4441824 is 4281444.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4441823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45744 + ... + 45840.

It is an arithmetic number, because the mean of its divisors is an integer number (138915).

Almost surely, 2^4441824 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 4441824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6667920).

4441824 is an abundant number, since it is smaller than the sum of its proper divisors (8894016).

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

4441824 is a wasteful number, since it uses less digits than its factorization.

4441824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 4441824 is about 2107.5635221744. The cubic root of 4441824 is about 164.3818190774.

The spelling of 4441824 in words is "four million, four hundred forty-one thousand, eight hundred twenty-four".