238543200 has 216 divisors, whose sum is σ = 961532208. Its totient is φ = 54512640.

The previous prime is 238543199. The next prime is 238543213. The reversal of 238543200 is 2345832.

238543200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48034 + ... + 52766.

It is an arithmetic number, because the mean of its divisors is an integer number (4451538).

Almost surely, 2^238543200 is an apocalyptic number.

238543200 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 238543200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480766104).

238543200 is an abundant number, since it is smaller than the sum of its proper divisors (722989008).

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

238543200 is a wasteful number, since it uses less digits than its factorization.

238543200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 238543200 is about 15444.8437997929. The cubic root of 238543200 is about 620.1865550298.

The spelling of 238543200 in words is "two hundred thirty-eight million, five hundred forty-three thousand, two hundred".