238638000 has 160 divisors (see below), whose sum is σ = 794806272. Its totient is φ = 61536000.

The previous prime is 238637989. The next prime is 238638007. The reversal of 238638000 is 836832.

238638000 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238638007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185359 + ... + 186641.

Almost surely, 2^238638000 is an apocalyptic number.

238638000 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 238638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397403136).

238638000 is an abundant number, since it is smaller than the sum of its proper divisors (556168272).

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

238638000 is a wasteful number, since it uses less digits than its factorization.

238638000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 238638000 is about 15447.9124803321. The cubic root of 238638000 is about 620.2687007357.

The spelling of 238638000 in words is "two hundred thirty-eight million, six hundred thirty-eight thousand".