243324000 has 240 divisors, whose sum is σ = 894269376. Its totient is φ = 64800000.

The previous prime is 243323989. The next prime is 243324001. The reversal of 243324000 is 423342.

243324000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243324001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 323625 + ... + 324375.

Almost surely, 2^243324000 is an apocalyptic number.

243324000 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 243324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447134688).

243324000 is an abundant number, since it is smaller than the sum of its proper divisors (650945376).

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

243324000 is an equidigital number, since it uses as much as digits as its factorization.

243324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 243324000 is about 15598.8461111712. The cubic root of 243324000 is about 624.3023682523.

Adding to 243324000 its reverse (423342), we get a palindrome (243747342).

The spelling of 243324000 in words is "two hundred forty-three million, three hundred twenty-four thousand".