238641312 has 192 divisors, whose sum is σ = 785756160. Its totient is φ = 61737984.

The previous prime is 238641289. The next prime is 238641313. The reversal of 238641312 is 213146832.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 238641312.

It is not an unprimeable number, because it can be changed into a prime (238641313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 515193 + ... + 515655.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2^238641312 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 238641312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392878080).

238641312 is an abundant number, since it is smaller than the sum of its proper divisors (547114848).

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

238641312 is a wasteful number, since it uses less digits than its factorization.

238641312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 547 counting only the distinct ones).

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

The square root of 238641312 is about 15448.0196789103. The cubic root of 238641312 is about 620.2715702430.

The spelling of 238641312 in words is "two hundred thirty-eight million, six hundred forty-one thousand, three hundred twelve".