243726912 has 252 divisors, whose sum is σ = 830023740. Its totient is φ = 67921920.

The previous prime is 243726911. The next prime is 243726947. The reversal of 243726912 is 219627342.

It can be written as a sum of positive squares in 2 ways, for example, as 25160256 + 218566656 = 5016^2 + 14784^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (243726911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 905914 + ... + 906182.

It is an arithmetic number, because the mean of its divisors is an integer number (3293745).

Almost surely, 2^243726912 is an apocalyptic number.

243726912 is a gapful number since it is divisible by the number (22) 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 243726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415011870).

243726912 is an abundant number, since it is smaller than the sum of its proper divisors (586296828).

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

243726912 is a wasteful number, since it uses less digits than its factorization.

243726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 298 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 243726912 is about 15611.7555707230. The cubic root of 243726912 is about 624.6467653047.

The spelling of 243726912 in words is "two hundred forty-three million, seven hundred twenty-six thousand, nine hundred twelve".