4402304 has 32 divisors (see below), whose sum is σ = 8865840. Its totient is φ = 2177280.

The previous prime is 4402291. The next prime is 4402327. The reversal of 4402304 is 4032044.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20759 + ... + 20969.

Almost surely, 2^4402304 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 4402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4432920).

4402304 is an abundant number, since it is smaller than the sum of its proper divisors (4463536).

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

4402304 is a wasteful number, since it uses less digits than its factorization.

4402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

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

The square root of 4402304 is about 2098.1668189160. The cubic root of 4402304 is about 163.8928508900.

Adding to 4402304 its reverse (4032044), we get a palindrome (8434348).

It can be divided in two parts, 440 and 2304, that added together give a cube (2744 = 14³).

The spelling of 4402304 in words is "four million, four hundred two thousand, three hundred four".