384216 has 32 divisors (see below), whose sum is σ = 1098240. Its totient is φ = 109728.

The previous prime is 384203. The next prime is 384227. The reversal of 384216 is 612483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is an unprimeable number.

384216 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 976 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (34320).

2³⁸⁴²¹⁶ is an apocalyptic number.

It is an amenable number.

384216 is an abundant number, since it is smaller than the sum of its proper divisors (714024).

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

384216 is a wasteful number, since it uses less digits than its factorization.

384216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2299 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 384216 is about 619.8515951419. The cubic root of 384216 is about 72.6984495632.

Adding to 384216 its reverse (612483), we get a palindrome (996699).

It can be divided in two parts, 384 and 216, that multiplied together give a square (82944 = 288²).

The spelling of 384216 in words is "three hundred eighty-four thousand, two hundred sixteen".