363204 has 60 divisors (see below), whose sum is σ = 1016400. Its totient is φ = 112752.

The previous prime is 363199. The next prime is 363211. The reversal of 363204 is 402363.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 363204.

It is an unprimeable number.

363204 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 19 ways as a sum of consecutive naturals, for example, 6127 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (16940).

2³⁶³²⁰⁴ 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 363204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508200).

363204 is an abundant number, since it is smaller than the sum of its proper divisors (653196).

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

363204 is a wasteful number, since it uses less digits than its factorization.

363204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 363204 is about 602.6640855402. The cubic root of 363204 is about 71.3482854110.

Adding to 363204 its reverse (402363), we get a palindrome (765567).

It can be divided in two parts, 36 and 3204, that added together give a triangular number (3240 = T₈₀).

The spelling of 363204 in words is "three hundred sixty-three thousand, two hundred four".