238478513 has 32 divisors (see below), whose sum is σ = 316915200. Its totient is φ = 174214656.

The previous prime is 238478507. The next prime is 238478573. The reversal of 238478513 is 315874832.

It is not a de Polignac number, because 238478513 - 2²⁰ = 237429937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (238478573) 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, 58733 + ... + 62661.

It is an arithmetic number, because the mean of its divisors is an integer number (9903600).

Almost surely, 2^238478513 is an apocalyptic number.

238478513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

238478513 is a deficient number, since it is larger than the sum of its proper divisors (78436687).

238478513 is a wasteful number, since it uses less digits than its factorization.

238478513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4001.

The product of its digits is 161280, while the sum is 41.

The square root of 238478513 is about 15442.7495285004. The cubic root of 238478513 is about 620.1304902239.

The spelling of 238478513 in words is "two hundred thirty-eight million, four hundred seventy-eight thousand, five hundred thirteen".