238848001 has 24 divisors (see below), whose sum is σ = 289434600. Its totient is φ = 196358400.

The previous prime is 238847981. The next prime is 238848007. The reversal of 238848001 is 100848832.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 238671601 = 420^2 + 15449^2 .

It is not a de Polignac number, because 238848001 - 2⁵ = 238847969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238848007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121575 + ... + 123523.

It is an arithmetic number, because the mean of its divisors is an integer number (12059775).

Almost surely, 2^238848001 is an apocalyptic number.

It is an amenable number.

238848001 is a deficient number, since it is larger than the sum of its proper divisors (50586599).

238848001 is a wasteful number, since it uses less digits than its factorization.

238848001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 238848001 is about 15454.7080528880. The cubic root of 238848001 is about 620.4505924957.

The spelling of 238848001 in words is "two hundred thirty-eight million, eight hundred forty-eight thousand, one".