243992320 has 288 divisors, whose sum is σ = 725243904. Its totient is φ = 77414400.

The previous prime is 243992269. The next prime is 243992327. The reversal of 243992320 is 23299342.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243992327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5674219 + ... + 5674261.

It is an arithmetic number, because the mean of its divisors is an integer number (2518208).

Almost surely, 2^243992320 is an apocalyptic number.

243992320 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 243992320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362621952).

243992320 is an abundant number, since it is smaller than the sum of its proper divisors (481251584).

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

243992320 is a wasteful number, since it uses less digits than its factorization.

243992320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 243992320 is about 15620.2535190694. The cubic root of 243992320 is about 624.8734207660.

The spelling of 243992320 in words is "two hundred forty-three million, nine hundred ninety-two thousand, three hundred twenty".