4004440 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1376640.

The previous prime is 4004417. The next prime is 4004449. The reversal of 4004440 is 444004.

4004440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004449) 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, 8121 + ... + 8599.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 2^4004440 is an apocalyptic number.

4004440 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 4004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4004440 is an abundant number, since it is smaller than the sum of its proper divisors (6363560).

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

4004440 is a wasteful number, since it uses less digits than its factorization.

4004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4004440 is about 2001.1096921458. The cubic root of 4004440 is about 158.7988173176.

Adding to 4004440 its reverse (444004), we get a palindrome (4448444).

It can be divided in two parts, 4004 and 440, that added together give a palindrome (4444).

The spelling of 4004440 in words is "four million, four thousand, four hundred forty".