243028800 has 252 divisors, whose sum is σ = 987588576. Its totient is φ = 55526400.

The previous prime is 243028789. The next prime is 243028801. The reversal of 243028800 is 8820342.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243028801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99595 + ... + 102005.

Almost surely, 2^243028800 is an apocalyptic number.

243028800 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 243028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493794288).

243028800 is an abundant number, since it is smaller than the sum of its proper divisors (744559776).

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

243028800 is a wasteful number, since it uses less digits than its factorization.

243028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 243028800 is about 15589.3810011815. The cubic root of 243028800 is about 624.0497987870.

The spelling of 243028800 in words is "two hundred forty-three million, twenty-eight thousand, eight hundred".