4044320 has 96 divisors (see below), whose sum is σ = 11467008. Its totient is φ = 1317888.

The previous prime is 4044319. The next prime is 4044323. The reversal of 4044320 is 234404.

4044320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4044323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25682 + ... + 25838.

It is an arithmetic number, because the mean of its divisors is an integer number (119448).

Almost surely, 2^4044320 is an apocalyptic number.

4044320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504).

4044320 is an abundant number, since it is smaller than the sum of its proper divisors (7422688).

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

4044320 is a wasteful number, since it uses less digits than its factorization.

4044320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 4044320 is about 2011.0494772631. The cubic root of 4044320 is about 159.3242332219.

Adding to 4044320 its reverse (234404), we get a palindrome (4278724).

The spelling of 4044320 in words is "four million, forty-four thousand, three hundred twenty".