4404 has 12 divisors (see below), whose sum is σ = 10304. Its totient is φ = 1464.

The previous prime is 4397. The next prime is 4409. The reversal of 4404 is 4044.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 367 = 4404 / (4 + 4 + 0 + 4).

It is an Ulam number.

It is a plaindrome in base 11, base 15 and base 16.

It is a nialpdrome in base 6.

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 4404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 195.

It is an amenable number.

4404 is an abundant number, since it is smaller than the sum of its proper divisors (5900).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152).

4404 is a wasteful number, since it uses less digits than its factorization.

4404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 4404 is about 66.3626400921. The cubic root of 4404 is about 16.3913894915.

Adding to 4404 its reverse (4044), we get a palindrome (8448).

It can be divided in two parts, 440 and 4, that added together give a palindrome (444).

The spelling of 4404 in words is "four thousand, four hundred four", and thus it is an iban number.