243413200 has 60 divisors (see below), whose sum is σ = 587959020. Its totient is φ = 96839680.

The previous prime is 243413167. The next prime is 243413221. The reversal of 243413200 is 2314342.

It can be written as a sum of positive squares in 6 ways, for example, as 41886784 + 201526416 = 6472^2 + 14196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77256 + ... + 80344.

It is an arithmetic number, because the mean of its divisors is an integer number (9799317).

Almost surely, 2^243413200 is an apocalyptic number.

243413200 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 243413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293979510).

243413200 is an abundant number, since it is smaller than the sum of its proper divisors (344545820).

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

243413200 is a wasteful number, since it uses less digits than its factorization.

243413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3304 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 243413200 is about 15601.7050350274. The cubic root of 243413200 is about 624.3786464764.

Adding to 243413200 its reverse (2314342), we get a palindrome (245727542).

The spelling of 243413200 in words is "two hundred forty-three million, four hundred thirteen thousand, two hundred".