393204 has 48 divisors (see below), whose sum is σ = 1089536. Its totient is φ = 108000.

The previous prime is 393203. The next prime is 393209. The reversal of 393204 is 402393.

393204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529 + ... + 2679.

2³⁹³²⁰⁴ 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 393204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544768).

393204 is an abundant number, since it is smaller than the sum of its proper divisors (696332).

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

393204 is a wasteful number, since it uses less digits than its factorization.

393204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 393204 is about 627.0598057602. The cubic root of 393204 is about 73.2609662592.

Adding to 393204 its reverse (402393), we get a palindrome (795597).

The spelling of 393204 in words is "three hundred ninety-three thousand, two hundred four".