399204 has 36 divisors (see below), whose sum is σ = 1087996. Its totient is φ = 122688.

The previous prime is 399197. The next prime is 399221. The reversal of 399204 is 402993.

399204 = T₉₇ + T₉₈ + ... + T₁₄₈.

399204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 39204 + 360000 = 198^2 + 600^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 399204.

It is an unprimeable number.

399204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42 + ... + 894.

2³⁹⁹²⁰⁴ 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 399204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543998).

399204 is an abundant number, since it is smaller than the sum of its proper divisors (688792).

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

399204 is a wasteful number, since it uses less digits than its factorization.

399204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 399204 is about 631.8259253940. The cubic root of 399204 is about 73.6317226987.

The spelling of 399204 in words is "three hundred ninety-nine thousand, two hundred four".