302304 has 48 divisors (see below), whose sum is σ = 822528. Its totient is φ = 97152.

The previous prime is 302299. The next prime is 302317. The reversal of 302304 is 403203.

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 (12).

It is a self number, because there is not a number n which added to its sum of digits gives 302304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4479 + ... + 4545.

It is an arithmetic number, because the mean of its divisors is an integer number (17136).

2³⁰²³⁰⁴ 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 302304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264).

302304 is an abundant number, since it is smaller than the sum of its proper divisors (520224).

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

302304 is a wasteful number, since it uses less digits than its factorization.

302304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 302304 is about 549.8217893100. The cubic root of 302304 is about 67.1142329862.

Adding to 302304 its reverse (403203), we get a palindrome (705507).

It can be divided in two parts, 302 and 304, that added together give a palindrome (606).

The spelling of 302304 in words is "three hundred two thousand, three hundred four", and thus it is an iban number.