393846 has 16 divisors (see below), whose sum is σ = 807408. Its totient is φ = 128000.

The previous prime is 393797. The next prime is 393847. The reversal of 393846 is 648393.

It is a super-2 number, since 2×393846² = 310229343432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393847) by changing a digit.

393846 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 555 + ... + 1046.

It is an arithmetic number, because the mean of its divisors is an integer number (50463).

2³⁹³⁸⁴⁶ is an apocalyptic number.

393846 is an abundant number, since it is smaller than the sum of its proper divisors (413562).

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

393846 is a wasteful number, since it uses less digits than its factorization.

393846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647.

The product of its digits is 15552, while the sum is 33.

The square root of 393846 is about 627.5715098696. The cubic root of 393846 is about 73.3008166216.

The spelling of 393846 in words is "three hundred ninety-three thousand, eight hundred forty-six".