243964224 has 252 divisors, whose sum is σ = 839870304. Its totient is φ = 68864256.

The previous prime is 243964223. The next prime is 243964267. The reversal of 243964224 is 422469342.

243964224 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 642 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243964223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2939287 + ... + 2939369.

Almost surely, 2^243964224 is an apocalyptic number.

243964224 is a gapful number since it is divisible by the number (24) 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 243964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419935152).

243964224 is an abundant number, since it is smaller than the sum of its proper divisors (595906080).

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

243964224 is an frugal number, since it uses more digits than its factorization.

243964224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 243964224 is about 15619.3541479794. The cubic root of 243964224 is about 624.8494348778.

The spelling of 243964224 in words is "two hundred forty-three million, nine hundred sixty-four thousand, two hundred twenty-four".