243820800 has 432 divisors, whose sum is σ = 958063680. Its totient is φ = 60456960.

The previous prime is 243820799. The next prime is 243820807. The reversal of 243820800 is 8028342.

243820800 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 (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (243820807) 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, 2937559 + ... + 2937641.

It is an arithmetic number, because the mean of its divisors is an integer number (2217740).

Almost surely, 2^243820800 is an apocalyptic number.

243820800 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 243820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479031840).

243820800 is an abundant number, since it is smaller than the sum of its proper divisors (714242880).

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

243820800 is a wasteful number, since it uses less digits than its factorization.

243820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

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

The square root of 243820800 is about 15614.7622460286. The cubic root of 243820800 is about 624.7269634057.

The spelling of 243820800 in words is "two hundred forty-three million, eight hundred twenty thousand, eight hundred".