243415680 has 128 divisors (see below), whose sum is σ = 784486080. Its totient is φ = 64192512.

The previous prime is 243415649. The next prime is 243415687. The reversal of 243415680 is 86514342.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (243415687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185587 + ... + 186893.

Almost surely, 2^243415680 is an apocalyptic number.

243415680 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 243415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392243040).

243415680 is an abundant number, since it is smaller than the sum of its proper divisors (541070400).

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

243415680 is a wasteful number, since it uses less digits than its factorization.

243415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 243415680 is about 15601.7845133177. The cubic root of 243415680 is about 624.3807669500.

The spelling of 243415680 in words is "two hundred forty-three million, four hundred fifteen thousand, six hundred eighty".