243288000 has 336 divisors, whose sum is σ = 906597120. Its totient is φ = 62208000.

The previous prime is 243287999. The next prime is 243288007. The reversal of 243288000 is 882342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243288007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2231946 + ... + 2232054.

Almost surely, 2^243288000 is an apocalyptic number.

243288000 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 243288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453298560).

243288000 is an abundant number, since it is smaller than the sum of its proper divisors (663309120).

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

243288000 is a wasteful number, since it uses less digits than its factorization.

243288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 243288000 is about 15597.6921369798. The cubic root of 243288000 is about 624.2715780388.

The spelling of 243288000 in words is "two hundred forty-three million, two hundred eighty-eight thousand".