393384 has 32 divisors (see below), whose sum is σ = 1012320. Its totient is φ = 127296.

The previous prime is 393383. The next prime is 393401. The reversal of 393384 is 483393.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (393383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 667 + ... + 1109.

It is an arithmetic number, because the mean of its divisors is an integer number (31635).

2³⁹³³⁸⁴ 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 393384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506160).

393384 is an abundant number, since it is smaller than the sum of its proper divisors (618936).

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

393384 is a wasteful number, since it uses less digits than its factorization.

393384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

The square root of 393384 is about 627.2033163178. The cubic root of 393384 is about 73.2721436312.

Subtracting 393384 from its reverse (483393), we obtain a palindrome (90009).

It can be divided in two parts, 393 and 384, that added together give a palindrome (777).

The spelling of 393384 in words is "three hundred ninety-three thousand, three hundred eighty-four".