396408 has 32 divisors (see below), whose sum is σ = 1008000. Its totient is φ = 129888.

The previous prime is 396379. The next prime is 396413. The reversal of 396408 is 804693.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

396408 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 7 ways as a sum of consecutive naturals, for example, 1893 + ... + 2091.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

2³⁹⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

396408 is an abundant number, since it is smaller than the sum of its proper divisors (611592).

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

396408 is a wasteful number, since it uses less digits than its factorization.

396408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 396408 is about 629.6094027252. The cubic root of 396408 is about 73.4594157919.

The spelling of 396408 in words is "three hundred ninety-six thousand, four hundred eight".