243045600 has 576 divisors, whose sum is σ = 1025934336. Its totient is φ = 48660480.

The previous prime is 243045599. The next prime is 243045631. The reversal of 243045600 is 6540342.

243045600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6568782 + ... + 6568818.

It is an arithmetic number, because the mean of its divisors is an integer number (1781136).

Almost surely, 2^243045600 is an apocalyptic number.

243045600 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 243045600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512967168).

243045600 is an abundant number, since it is smaller than the sum of its proper divisors (782888736).

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

243045600 is a wasteful number, since it uses less digits than its factorization.

243045600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 243045600 is about 15589.9198201915. The cubic root of 243045600 is about 624.0641781460.

Adding to 243045600 its reverse (6540342), we get a palindrome (249585942).

The spelling of 243045600 in words is "two hundred forty-three million, forty-five thousand, six hundred".