238968000 has 168 divisors, whose sum is σ = 855085920. Its totient is φ = 63705600.

The previous prime is 238967983. The next prime is 238968001. The reversal of 238968000 is 869832.

238968000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (238968001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70341 + ... + 73659.

Almost surely, 2^238968000 is an apocalyptic number.

238968000 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 238968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427542960).

238968000 is an abundant number, since it is smaller than the sum of its proper divisors (616117920).

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

238968000 is a wasteful number, since it uses less digits than its factorization.

238968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 238968000 is about 15458.5898451314. The cubic root of 238968000 is about 620.5544814197.

The spelling of 238968000 in words is "two hundred thirty-eight million, nine hundred sixty-eight thousand".