234268800 has 192 divisors, whose sum is σ = 805930560. Its totient is φ = 59699200.

The previous prime is 234268781. The next prime is 234268813. The reversal of 234268800 is 8862432.

234268800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 220270 + ... + 221330.

It is an arithmetic number, because the mean of its divisors is an integer number (4197555).

Almost surely, 2^234268800 is an apocalyptic number.

234268800 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 234268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402965280).

234268800 is an abundant number, since it is smaller than the sum of its proper divisors (571661760).

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

234268800 is a wasteful number, since it uses less digits than its factorization.

234268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 234268800 is about 15305.8420219209. The cubic root of 234268800 is about 616.4598803457.

The spelling of 234268800 in words is "two hundred thirty-four million, two hundred sixty-eight thousand, eight hundred".