238506912 has 108 divisors (see below), whose sum is σ = 789036066. Its totient is φ = 68140800.

The previous prime is 238506911. The next prime is 238506937. The reversal of 238506912 is 219605832.

238506912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 121088016 + 117418896 = 11004^2 + 10836^2 .

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 (238506911) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5662 + ... + 22562.

Almost surely, 2^238506912 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 238506912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394518033).

238506912 is an abundant number, since it is smaller than the sum of its proper divisors (550529154).

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

238506912 is a wasteful number, since it uses less digits than its factorization.

238506912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16931 (or 16913 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 238506912 is about 15443.6689941218. The cubic root of 238506912 is about 620.1551051415.

The spelling of 238506912 in words is "two hundred thirty-eight million, five hundred six thousand, nine hundred twelve".