396320 has 24 divisors (see below), whose sum is σ = 936684. Its totient is φ = 158464.

The previous prime is 396311. The next prime is 396323. The reversal of 396320 is 23693.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 394384 + 1936 = 628^2 + 44^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396320.

It is not an unprimeable number, because it can be changed into a prime (396323) by changing a digit.

396320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 1079 + ... + 1398.

2³⁹⁶³²⁰ is an apocalyptic number.

It is an amenable number.

396320 is an abundant number, since it is smaller than the sum of its proper divisors (540364).

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

396320 is a wasteful number, since it uses less digits than its factorization.

396320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 396320 is about 629.5395142483. The cubic root of 396320 is about 73.4539795520.

The spelling of 396320 in words is "three hundred ninety-six thousand, three hundred twenty".