396400 has 30 divisors (see below), whose sum is σ = 953312. Its totient is φ = 158400.

The previous prime is 396379. The next prime is 396413. The reversal of 396400 is 4693.

396400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96 + ... + 895.

2³⁹⁶⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

396400 is an abundant number, since it is smaller than the sum of its proper divisors (556912).

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

396400 is a wasteful number, since it uses less digits than its factorization.

396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 396400 is about 629.6030495479. The cubic root of 396400 is about 73.4589216216.

The spelling of 396400 in words is "three hundred ninety-six thousand, four hundred".