243475200 has 216 divisors, whose sum is σ = 893432400. Its totient is φ = 64880640.

The previous prime is 243475187. The next prime is 243475201. The reversal of 243475200 is 2574342.

243475200 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 (216).

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 (243475201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172096 + ... + 173504.

Almost surely, 2^243475200 is an apocalyptic number.

243475200 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 243475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446716200).

243475200 is an abundant number, since it is smaller than the sum of its proper divisors (649957200).

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

243475200 is a wasteful number, since it uses less digits than its factorization.

243475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 243475200 is about 15603.6918708362. The cubic root of 243475200 is about 624.4316539958.

The spelling of 243475200 in words is "two hundred forty-three million, four hundred seventy-five thousand, two hundred".