243873600 has 252 divisors, whose sum is σ = 853037664. Its totient is φ = 60881920.

The previous prime is 243873599. The next prime is 243873601. The reversal of 243873600 is 6378342.

It is an interprime number because it is at equal distance from previous prime (243873599) and next prime (243873601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243873601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5188777 + ... + 5188823.

Almost surely, 2^243873600 is an apocalyptic number.

243873600 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 243873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426518832).

243873600 is an abundant number, since it is smaller than the sum of its proper divisors (609164064).

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

243873600 is a wasteful number, since it uses less digits than its factorization.

243873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 243873600 is about 15616.4528622860. The cubic root of 243873600 is about 624.7720555429.

The spelling of 243873600 in words is "two hundred forty-three million, eight hundred seventy-three thousand, six hundred".