243838080 has 256 divisors, whose sum is σ = 878342400. Its totient is φ = 63922176.

The previous prime is 243838073. The next prime is 243838081. The reversal of 243838080 is 80838342.

It is a happy number.

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 (243838081) 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, 1779772 + ... + 1779908.

It is an arithmetic number, because the mean of its divisors is an integer number (3431025).

Almost surely, 2^243838080 is an apocalyptic number.

243838080 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 243838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

243838080 is an abundant number, since it is smaller than the sum of its proper divisors (634504320).

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

243838080 is a wasteful number, since it uses less digits than its factorization.

243838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 243838080 is about 15615.3155587711. The cubic root of 243838080 is about 624.7417215490.

The spelling of 243838080 in words is "two hundred forty-three million, eight hundred thirty-eight thousand, eighty".