243868800 has 384 divisors, whose sum is σ = 971366400. Its totient is φ = 52531200.

The previous prime is 243868783. The next prime is 243868831. The reversal of 243868800 is 8868342.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×243868800² = 118943983226880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1276705 + ... + 1276895.

It is an arithmetic number, because the mean of its divisors is an integer number (2529600).

Almost surely, 2^243868800 is an apocalyptic number.

243868800 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 243868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485683200).

243868800 is an abundant number, since it is smaller than the sum of its proper divisors (727497600).

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

243868800 is a wasteful number, since it uses less digits than its factorization.

243868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 243868800 is about 15616.2991774620. The cubic root of 243868800 is about 624.7679565267.

The spelling of 243868800 in words is "two hundred forty-three million, eight hundred sixty-eight thousand, eight hundred".