238631400 has 384 divisors, whose sum is σ = 964224000. Its totient is φ = 53118720.

The previous prime is 238631369. The next prime is 238631413. The reversal of 238631400 is 4136832.

It is a happy number.

238631400 is a `hidden beast` number, since 23 + 8 + 631 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2230147 + ... + 2230253.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^238631400 is an apocalyptic number.

238631400 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 238631400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482112000).

238631400 is an abundant number, since it is smaller than the sum of its proper divisors (725592600).

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

238631400 is a wasteful number, since it uses less digits than its factorization.

238631400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 238631400 is about 15447.6988577587. The cubic root of 238631400 is about 620.2629824355.

The spelling of 238631400 in words is "two hundred thirty-eight million, six hundred thirty-one thousand, four hundred".