216442908 has 192 divisors, whose sum is σ = 662323200. Its totient is φ = 60419520.

The previous prime is 216442907. The next prime is 216442931. The reversal of 216442908 is 809244612.

216442908 is a `hidden beast` number, since 2 + 1 + 644 + 2 + 9 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216442901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970485 + ... + 970707.

It is an arithmetic number, because the mean of its divisors is an integer number (3449600).

Almost surely, 2^216442908 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 216442908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331161600).

216442908 is an abundant number, since it is smaller than the sum of its proper divisors (445880292).

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

216442908 is a wasteful number, since it uses less digits than its factorization.

216442908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 216442908 is about 14711.9987765089. The cubic root of 216442908 is about 600.4098200155.

Adding to 216442908 its sum of digits (36), we get a square (216442944 = 14712²).

The spelling of 216442908 in words is "two hundred sixteen million, four hundred forty-two thousand, nine hundred eight".