4382304 has 48 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1447040.

The previous prime is 4382303. The next prime is 4382309. The reversal of 4382304 is 4032834.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4382303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18217 + ... + 18455.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^4382304 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 4382304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4382304 is an abundant number, since it is smaller than the sum of its proper divisors (7229856).

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

4382304 is a wasteful number, since it uses less digits than its factorization.

4382304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 4382304 is about 2093.3953281690. The cubic root of 4382304 is about 163.6442815473.

Subtracting from 4382304 its sum of digits (24), we obtain a triangular number (4382280 = T₂₉₆₀).

The spelling of 4382304 in words is "four million, three hundred eighty-two thousand, three hundred four".