393856 has 32 divisors (see below), whose sum is σ = 835380. Its totient is φ = 184320.

The previous prime is 393853. The next prime is 393857. The reversal of 393856 is 658393.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 14400 = 616^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (393853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2086 + ... + 2266.

2³⁹³⁸⁵⁶ 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 393856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417690).

393856 is an abundant number, since it is smaller than the sum of its proper divisors (441524).

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

393856 is a wasteful number, since it uses less digits than its factorization.

393856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 200 counting only the distinct ones).

The product of its digits is 19440, while the sum is 34.

The square root of 393856 is about 627.5794770386. The cubic root of 393856 is about 73.3014370011.

The spelling of 393856 in words is "three hundred ninety-three thousand, eight hundred fifty-six".