243038880 has 576 divisors, whose sum is σ = 1056706560. Its totient is φ = 51508224.

The previous prime is 243038869. The next prime is 243038897. The reversal of 243038880 is 88830342.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5171017 + ... + 5171063.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 2^243038880 is an apocalyptic number.

243038880 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 243038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528353280).

243038880 is an abundant number, since it is smaller than the sum of its proper divisors (813667680).

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

243038880 is a wasteful number, since it uses less digits than its factorization.

243038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

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

The square root of 243038880 is about 15589.7042948223. The cubic root of 243038880 is about 624.0584264819.

It can be divided in two parts, 2430 and 38880, that multiplied together give a square (94478400 = 9720²).

The spelling of 243038880 in words is "two hundred forty-three million, thirty-eight thousand, eight hundred eighty".