238424616 has 72 divisors (see below), whose sum is σ = 681582330. Its totient is φ = 75283776.

The previous prime is 238424611. The next prime is 238424623. The reversal of 238424616 is 616424832.

238424616 is a `hidden beast` number, since 2 + 38 + 4 + 2 + 4 + 616 = 666.

238424616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 236852100 + 1572516 = 15390^2 + 1254^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (238424611) 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 17 ways as a sum of consecutive naturals, for example, 21406 + ... + 30578.

Almost surely, 2^238424616 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 238424616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340791165).

238424616 is an abundant number, since it is smaller than the sum of its proper divisors (443157714).

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

238424616 is a wasteful number, since it uses less digits than its factorization.

238424616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9197 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 238424616 is about 15441.0043714779. The cubic root of 238424616 is about 620.0837694651.

It can be divided in two parts, 2384 and 24616, that added together give a cube (27000 = 30³).

The spelling of 238424616 in words is "two hundred thirty-eight million, four hundred twenty-four thousand, six hundred sixteen".