238423200 has 144 divisors (see below), whose sum is σ = 795324096. Its totient is φ = 62003200.

The previous prime is 238423193. The next prime is 238423219. The reversal of 238423200 is 2324832.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97189 + ... + 99611.

It is an arithmetic number, because the mean of its divisors is an integer number (5523084).

Almost surely, 2^238423200 is an apocalyptic number.

238423200 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 238423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397662048).

238423200 is an abundant number, since it is smaller than the sum of its proper divisors (556900896).

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

238423200 is a wasteful number, since it uses less digits than its factorization.

238423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 238423200 is about 15440.9585194702. The cubic root of 238423200 is about 620.0825419068.

The spelling of 238423200 in words is "two hundred thirty-eight million, four hundred twenty-three thousand, two hundred".