238738752 has 392 divisors, whose sum is σ = 879506496. Its totient is φ = 62705664.

The previous prime is 238738741. The next prime is 238738757. The reversal of 238738752 is 257837832.

238738752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (564480) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 238738698 and 238738707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238738757) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5552043 + ... + 5552085.

Almost surely, 2^238738752 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 238738752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439753248).

238738752 is an abundant number, since it is smaller than the sum of its proper divisors (640767744).

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

238738752 is an equidigital number, since it uses as much as digits as its factorization.

238738752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 238738752 is about 15451.1731593430. The cubic root of 238738752 is about 620.3559801008.

The spelling of 238738752 in words is "two hundred thirty-eight million, seven hundred thirty-eight thousand, seven hundred fifty-two".