238608000 has 192 divisors, whose sum is σ = 857418120. Its totient is φ = 63590400.

The previous prime is 238607983. The next prime is 238608037. The reversal of 238608000 is 806832.

It can be written as a sum of positive squares in 4 ways, for example, as 50808384 + 187799616 = 7128^2 + 13704^2 .

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, 143172 + ... + 144828.

Almost surely, 2^238608000 is an apocalyptic number.

238608000 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 238608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428709060).

238608000 is an abundant number, since it is smaller than the sum of its proper divisors (618810120).

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

238608000 is a wasteful number, since it uses less digits than its factorization.

238608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 238608000 is about 15446.9414448298. The cubic root of 238608000 is about 620.2427076125.

The spelling of 238608000 in words is "two hundred thirty-eight million, six hundred eight thousand".