238914432 has 192 divisors, whose sum is σ = 733224960. Its totient is φ = 74511360.

The previous prime is 238914397. The next prime is 238914433. The reversal of 238914432 is 234419832.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238914433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1881153 + ... + 1881279.

It is an arithmetic number, because the mean of its divisors is an integer number (3818880).

Almost surely, 2^238914432 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 238914432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612480).

238914432 is an abundant number, since it is smaller than the sum of its proper divisors (494310528).

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

238914432 is a wasteful number, since it uses less digits than its factorization.

238914432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 226 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 238914432 is about 15456.8571190912. The cubic root of 238914432 is about 620.5081093160.

The spelling of 238914432 in words is "two hundred thirty-eight million, nine hundred fourteen thousand, four hundred thirty-two".