238634208 has 96 divisors (see below), whose sum is σ = 700358400. Its totient is φ = 79049088.

The previous prime is 238634203. The next prime is 238634237. The reversal of 238634208 is 802436832.

238634208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238634203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153885 + ... + 155427.

It is an arithmetic number, because the mean of its divisors is an integer number (7295400).

Almost surely, 2^238634208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238634208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350179200).

238634208 is an abundant number, since it is smaller than the sum of its proper divisors (461724192).

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

238634208 is a wasteful number, since it uses less digits than its factorization.

238634208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 238634208 is about 15447.7897448146. The cubic root of 238634208 is about 620.2654153252.

The spelling of 238634208 in words is "two hundred thirty-eight million, six hundred thirty-four thousand, two hundred eight".