393020 has 24 divisors (see below), whose sum is σ = 846384. Its totient is φ = 153216.

The previous prime is 393017. The next prime is 393031. The reversal of 393020 is 20393.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 393020.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 393020.

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, 632 + ... + 1088.

It is an arithmetic number, because the mean of its divisors is an integer number (35266).

2³⁹³⁰²⁰ 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 393020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423192).

393020 is an abundant number, since it is smaller than the sum of its proper divisors (453364).

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

393020 is a wasteful number, since it uses less digits than its factorization.

393020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 393020 is about 626.9130721240. The cubic root of 393020 is about 73.2495369748.

Multiplying 393020 by its sum of digits (17), we get a triangular number (6681340 = T₃₆₅₅).

The spelling of 393020 in words is "three hundred ninety-three thousand, twenty".