395304 has 64 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 103680.

The previous prime is 395303. The next prime is 395309. The reversal of 395304 is 403593.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2094 + ... + 2274.

It is an arithmetic number, because the mean of its divisors is an integer number (19110).

2³⁹⁵³⁰⁴ 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 395304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

395304 is an abundant number, since it is smaller than the sum of its proper divisors (827736).

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

395304 is a wasteful number, since it uses less digits than its factorization.

395304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 395304 is about 628.7320573981. The cubic root of 395304 is about 73.3911573317.

395304 divided by its sum of digits (24) gives a triangular number (16471 = T₁₈₁).

Adding to 395304 its reverse (403593), we get a palindrome (798897).

The spelling of 395304 in words is "three hundred ninety-five thousand, three hundred four".