393320 has 16 divisors (see below), whose sum is σ = 885060. Its totient is φ = 157312.

The previous prime is 393311. The next prime is 393331. The reversal of 393320 is 23393.

It can be written as a sum of positive squares in 2 ways, for example, as 391876 + 1444 = 626^2 + 38^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 393292 and 393301.

It is an unprimeable number.

393320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 4877 + ... + 4956.

2³⁹³³²⁰ is an apocalyptic number.

It is an amenable number.

393320 is an abundant number, since it is smaller than the sum of its proper divisors (491740).

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

393320 is a wasteful number, since it uses less digits than its factorization.

393320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 393320 is about 627.1522941041. The cubic root of 393320 is about 73.2681698452.

The spelling of 393320 in words is "three hundred ninety-three thousand, three hundred twenty".