243840000 has 220 divisors, whose sum is σ = 818537984. Its totient is φ = 64512000.

The previous prime is 243839987. The next prime is 243840007. The reversal of 243840000 is 48342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243840007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919937 + ... + 1920063.

Almost surely, 2^243840000 is an apocalyptic number.

243840000 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 243840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409268992).

243840000 is an abundant number, since it is smaller than the sum of its proper divisors (574697984).

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

243840000 is an equidigital number, since it uses as much as digits as its factorization.

243840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 243840000 is about 15615.3770367545. The cubic root of 243840000 is about 624.7433612996.

Adding to 243840000 its reverse (48342), we get a palindrome (243888342).

It can be divided in two parts, 24 and 3840000, that multiplied together give a square (92160000 = 9600²).

The spelling of 243840000 in words is "two hundred forty-three million, eight hundred forty thousand".