243048000 has 448 divisors, whose sum is σ = 931956480. Its totient is φ = 55296000.

The previous prime is 243047999. The next prime is 243048007. The reversal of 243048000 is 840342.

It is a happy number.

243048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243048007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5927980 + ... + 5928020.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 2^243048000 is an apocalyptic number.

243048000 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 243048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465978240).

243048000 is an abundant number, since it is smaller than the sum of its proper divisors (688908480).

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

243048000 is a wasteful number, since it uses less digits than its factorization.

243048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

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

The square root of 243048000 is about 15589.9967928156. The cubic root of 243048000 is about 624.0662322860.

Adding to 243048000 its reverse (840342), we get a palindrome (243888342).

It can be divided in two parts, 2430 and 48000, that multiplied together give a square (116640000 = 10800²).

The spelling of 243048000 in words is "two hundred forty-three million, forty-eight thousand".