384912 has 80 divisors (see below), whose sum is σ = 1220160. Its totient is φ = 116640.

The previous prime is 384907. The next prime is 384913. The reversal of 384912 is 219483.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is one of the 548 Lynch-Bell numbers.

Its product of digits (1728) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (384913) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 34987 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (15252).

384912 is a Friedman number, since it can be written as (18^4*(9+2))/3, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 432 ⋅ 891 (with its own digits).

2³⁸⁴⁹¹² 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 384912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610080).

384912 is an abundant number, since it is smaller than the sum of its proper divisors (835248).

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

384912 is an equidigital number, since it uses as much as digits as its factorization.

384912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 16 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 384912 is about 620.4127658261. The cubic root of 384912 is about 72.7423203712.

It can be divided in two parts, 384 and 912, that added together give a 4-th power (1296 = 6⁴).

The spelling of 384912 in words is "three hundred eighty-four thousand, nine hundred twelve".