243968760 has 320 divisors, whose sum is σ = 970168320. Its totient is φ = 53809920.

The previous prime is 243968749. The next prime is 243968761. The reversal of 243968760 is 67869342.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243968761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 702907 + ... + 703253.

It is an arithmetic number, because the mean of its divisors is an integer number (3031776).

Almost surely, 2^243968760 is an apocalyptic number.

243968760 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 243968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485084160).

243968760 is an abundant number, since it is smaller than the sum of its proper divisors (726199560).

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

243968760 is a wasteful number, since it uses less digits than its factorization.

243968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 243968760 is about 15619.4993517718. The cubic root of 243968760 is about 624.8533074394.

The spelling of 243968760 in words is "two hundred forty-three million, nine hundred sixty-eight thousand, seven hundred sixty".