385216 has 28 divisors (see below), whose sum is σ = 824992. Its totient is φ = 177408.

The previous prime is 385199. The next prime is 385223. The reversal of 385216 is 612583.

It is a happy number.

385216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 601 + ... + 1063.

It is an arithmetic number, because the mean of its divisors is an integer number (29464).

2³⁸⁵²¹⁶ 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 385216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412496).

385216 is an abundant number, since it is smaller than the sum of its proper divisors (439776).

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

385216 is a wasteful number, since it uses less digits than its factorization.

385216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 385216 is about 620.6577156533. The cubic root of 385216 is about 72.7614657397.

Adding to 385216 its reverse (612583), we get a palindrome (997799).

The spelling of 385216 in words is "three hundred eighty-five thousand, two hundred sixteen".