238012416 has 144 divisors (see below), whose sum is σ = 708025500. Its totient is φ = 76972032.

The previous prime is 238012387. The next prime is 238012447. The reversal of 238012416 is 614210832.

238012416 is a `hidden beast` number, since 238 + 0 + 12 + 416 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 210134016 + 27878400 = 14496^2 + 5280^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 238012416.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 681810 + ... + 682158.

Almost surely, 2^238012416 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 238012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354012750).

238012416 is an abundant number, since it is smaller than the sum of its proper divisors (470013084).

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

238012416 is a wasteful number, since it uses less digits than its factorization.

238012416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 238012416 is about 15427.6510201651. The cubic root of 238012416 is about 619.7262197390.

The spelling of 238012416 in words is "two hundred thirty-eight million, twelve thousand, four hundred sixteen".