393816 has 32 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 128640.

The previous prime is 393797. The next prime is 393847. The reversal of 393816 is 618393.

393816 is nontrivially palindromic in base 14.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330 + ... + 1598.

2³⁹³⁸¹⁶ 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 393816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

393816 is an abundant number, since it is smaller than the sum of its proper divisors (610584).

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

393816 is a wasteful number, since it uses less digits than its factorization.

393816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 393816 is about 627.5476077558. The cubic root of 393816 is about 73.2989554200.

The spelling of 393816 in words is "three hundred ninety-three thousand, eight hundred sixteen".