384816 has 20 divisors (see below), whose sum is σ = 994232. Its totient is φ = 128256.

The previous prime is 384779. The next prime is 384817. The reversal of 384816 is 618483.

It is a happy number.

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 (384817) by changing a digit.

384816 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 3 ways as a sum of consecutive naturals, for example, 3961 + ... + 4056.

2³⁸⁴⁸¹⁶ is an apocalyptic number.

It is an amenable number.

384816 is an abundant number, since it is smaller than the sum of its proper divisors (609416).

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

384816 is a wasteful number, since it uses less digits than its factorization.

384816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8022 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 384816 is about 620.3353931544. The cubic root of 384816 is about 72.7362723711.

The spelling of 384816 in words is "three hundred eighty-four thousand, eight hundred sixteen".