238413312 has 120 divisors (see below), whose sum is σ = 710698560. Its totient is φ = 76861440.

The previous prime is 238413299. The next prime is 238413313. The reversal of 238413312 is 213314832.

238413312 is a `hidden beast` number, since 238 + 413 + 3 + 12 = 666.

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 (238413313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142014 + ... + 143682.

It is an arithmetic number, because the mean of its divisors is an integer number (5922488).

Almost surely, 2^238413312 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 238413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355349280).

238413312 is an abundant number, since it is smaller than the sum of its proper divisors (472285248).

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

238413312 is a wasteful number, since it uses less digits than its factorization.

238413312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1705 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 238413312 is about 15440.6383287738. The cubic root of 238413312 is about 620.0739696693.

The spelling of 238413312 in words is "two hundred thirty-eight million, four hundred thirteen thousand, three hundred twelve".