396304 has 40 divisors (see below), whose sum is σ = 857088. Its totient is φ = 176640.

The previous prime is 396301. The next prime is 396311. The reversal of 396304 is 403693.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (396301) 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 7 ways as a sum of consecutive naturals, for example, 8409 + ... + 8455.

2³⁹⁶³⁰⁴ is an apocalyptic number.

396304 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428544).

396304 is an abundant number, since it is smaller than the sum of its proper divisors (460784).

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

396304 is a wasteful number, since it uses less digits than its factorization.

396304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 396304 is about 629.5268064189. The cubic root of 396304 is about 73.4529910583.

Adding to 396304 its reverse (403693), we get a palindrome (799997).

The spelling of 396304 in words is "three hundred ninety-six thousand, three hundred four".