238815648 has 96 divisors (see below), whose sum is σ = 711486720. Its totient is φ = 77898240.

The previous prime is 238815641. The next prime is 238815719. The reversal of 238815648 is 846518832.

238815648 is a `hidden beast` number, since 2 + 3 + 8 + 81 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×238815648³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (238815641) 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 15 ways as a sum of consecutive naturals, for example, 37668 + ... + 43548.

It is an arithmetic number, because the mean of its divisors is an integer number (7411320).

Almost surely, 2^238815648 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 238815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355743360).

238815648 is an abundant number, since it is smaller than the sum of its proper divisors (472671072).

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

238815648 is a wasteful number, since it uses less digits than its factorization.

238815648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5947 (or 5933 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 238815648 is about 15453.6613137470. The cubic root of 238815648 is about 620.4225769874.

The spelling of 238815648 in words is "two hundred thirty-eight million, eight hundred fifteen thousand, six hundred forty-eight".