238838208 has 224 divisors, whose sum is σ = 780288000. Its totient is φ = 62954496.

The previous prime is 238838203. The next prime is 238838221. The reversal of 238838208 is 802838832.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 238838208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238838203) 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, 1200093 + ... + 1200291.

Almost surely, 2^238838208 is an apocalyptic number.

238838208 is a gapful number since it is divisible by the number (28) 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 238838208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390144000).

238838208 is an abundant number, since it is smaller than the sum of its proper divisors (541449792).

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

238838208 is a wasteful number, since it uses less digits than its factorization.

238838208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 238838208 is about 15454.3912206208. The cubic root of 238838208 is about 620.4421126875.

It can be divided in two parts, 2388 and 38208, that multiplied together give a square (91240704 = 9552²).

The spelling of 238838208 in words is "two hundred thirty-eight million, eight hundred thirty-eight thousand, two hundred eight".