238172256 has 288 divisors, whose sum is σ = 828592128. Its totient is φ = 63452160.

The previous prime is 238172237. The next prime is 238172257. The reversal of 238172256 is 652271832.

238172256 is a `hidden beast` number, since 238 + 172 + 256 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 238172256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238172257) 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 47 ways as a sum of consecutive naturals, for example, 2312301 + ... + 2312403.

It is an arithmetic number, because the mean of its divisors is an integer number (2877056).

Almost surely, 2^238172256 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 238172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414296064).

238172256 is an abundant number, since it is smaller than the sum of its proper divisors (590419872).

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

238172256 is a wasteful number, since it uses less digits than its factorization.

238172256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 238172256 is about 15432.8304597698. The cubic root of 238172256 is about 619.8649168073.

The spelling of 238172256 in words is "two hundred thirty-eight million, one hundred seventy-two thousand, two hundred fifty-six".