230540800 has 240 divisors, whose sum is σ = 681956352. Its totient is φ = 75571200.

The previous prime is 230540797. The next prime is 230540819. The reversal of 230540800 is 8045032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777559 + ... + 2777641.

Almost surely, 2^230540800 is an apocalyptic number.

230540800 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 230540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340978176).

230540800 is an abundant number, since it is smaller than the sum of its proper divisors (451415552).

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

230540800 is an equidigital number, since it uses as much as digits as its factorization.

230540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 230540800 is about 15183.5700676751. The cubic root of 230540800 is about 613.1724005406.

Adding to 230540800 its reverse (8045032), we get a palindrome (238585832).

The spelling of 230540800 in words is "two hundred thirty million, five hundred forty thousand, eight hundred".