243720000 has 210 divisors, whose sum is σ = 874234218. Its totient is φ = 64896000.

The previous prime is 243719953. The next prime is 243720017. The reversal of 243720000 is 27342.

It is a happy number.

243720000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 24443136 + 219276864 = 4944^2 + 14808^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359662 + ... + 360338.

Almost surely, 2^243720000 is an apocalyptic number.

243720000 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 243720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437117109).

243720000 is an abundant number, since it is smaller than the sum of its proper divisors (630514218).

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

243720000 is an equidigital number, since it uses as much as digits as its factorization.

243720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 243720000 is about 15611.5341975092. The cubic root of 243720000 is about 624.6408603361.

Adding to 243720000 its reverse (27342), we get a palindrome (243747342).

The spelling of 243720000 in words is "two hundred forty-three million, seven hundred twenty thousand".