238563312 has 160 divisors (see below), whose sum is σ = 720453888. Its totient is φ = 67350528.

The previous prime is 238563301. The next prime is 238563317. The reversal of 238563312 is 213365832.

238563312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238563317) 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, 455883 + ... + 456405.

Almost surely, 2^238563312 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 238563312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360226944).

238563312 is an abundant number, since it is smaller than the sum of its proper divisors (481890576).

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

238563312 is a wasteful number, since it uses less digits than its factorization.

238563312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 238563312 is about 15445.4948771478. The cubic root of 238563312 is about 620.2039842159.

The spelling of 238563312 in words is "two hundred thirty-eight million, five hundred sixty-three thousand, three hundred twelve".