230800 has 30 divisors (see below), whose sum is σ = 555458. Its totient is φ = 92160.

The previous prime is 230779. The next prime is 230807. The reversal of 230800 is 8032.

It can be written as a sum of positive squares in 3 ways, for example, as 73984 + 156816 = 272^2 + 396^2 .

It is not an unprimeable number, because it can be changed into a prime (230807) by changing a digit.

230800 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 5 ways as a sum of consecutive naturals, for example, 112 + ... + 688.

2²³⁰⁸⁰⁰ is an apocalyptic number.

230800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277729).

230800 is an abundant number, since it is smaller than the sum of its proper divisors (324658).

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

230800 is a wasteful number, since it uses less digits than its factorization.

230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 230800 is about 480.4164859786. The cubic root of 230800 is about 61.3402113690.

Adding to 230800 its reverse (8032), we get a palindrome (238832).

The spelling of 230800 in words is "two hundred thirty thousand, eight hundred".