243968256 has 162 divisors, whose sum is σ = 818643462. Its totient is φ = 69672960.

The previous prime is 243968251. The next prime is 243968273. The reversal of 243968256 is 652869342.

243968256 is a `hidden beast` number, since 2 + 4 + 396 + 8 + 256 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 25401600 = 14784^2 + 5040^2 .

It is not an unprimeable number, because it can be changed into a prime (243968251) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111816 + ... + 113976.

Almost surely, 2^243968256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409321731).

243968256 is an abundant number, since it is smaller than the sum of its proper divisors (574675206).

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

243968256 is a wasteful number, since it uses less digits than its factorization.

243968256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2173 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 243968256 is about 15619.4832180838. The cubic root of 243968256 is about 624.8528771572.

The spelling of 243968256 in words is "two hundred forty-three million, nine hundred sixty-eight thousand, two hundred fifty-six".