238688400 has 120 divisors (see below), whose sum is σ = 768031200. Its totient is φ = 63365120.

The previous prime is 238688353. The next prime is 238688413. The reversal of 238688400 is 4886832.

It is a tau number, because it is divible by the number of its divisors (120).

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, 531376 + ... + 531824.

It is an arithmetic number, because the mean of its divisors is an integer number (6400260).

Almost surely, 2^238688400 is an apocalyptic number.

238688400 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 238688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384015600).

238688400 is an abundant number, since it is smaller than the sum of its proper divisors (529342800).

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

238688400 is a wasteful number, since it uses less digits than its factorization.

238688400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

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

The square root of 238688400 is about 15449.5436825817. The cubic root of 238688400 is about 620.3123642791.

The spelling of 238688400 in words is "two hundred thirty-eight million, six hundred eighty-eight thousand, four hundred".