202304 has 28 divisors (see below), whose sum is σ = 419100. Its totient is φ = 96768.

The previous prime is 202291. The next prime is 202309. The reversal of 202304 is 403202.

It can be written as a sum of positive squares in 2 ways, for example, as 123904 + 78400 = 352^2 + 280^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202309) by changing a digit.

202304 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1802 + ... + 1910.

2²⁰²³⁰⁴ 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 202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209550).

202304 is an abundant number, since it is smaller than the sum of its proper divisors (216796).

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

202304 is a wasteful number, since it uses less digits than its factorization.

202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 202304 is about 449.7821694999. The cubic root of 202304 is about 58.7040624755.

Adding to 202304 its reverse (403202), we get a palindrome (605506).

The spelling of 202304 in words is "two hundred two thousand, three hundred four", and thus it is an iban number.