396384 has 24 divisors (see below), whose sum is σ = 1040760. Its totient is φ = 132096.

The previous prime is 396379. The next prime is 396413. The reversal of 396384 is 483693.

396384 = 45² + 46² + ... + 108².

It is a tau number, because it is divible by the number of its divisors (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

396384 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 3 ways as a sum of consecutive naturals, for example, 1969 + ... + 2160.

It is an arithmetic number, because the mean of its divisors is an integer number (43365).

396384 is a Friedman number, since it can be written as 96*(33+8^4), using all its digits and the basic arithmetic operations.

2³⁹⁶³⁸⁴ is an apocalyptic number.

It is an amenable number.

396384 is an abundant number, since it is smaller than the sum of its proper divisors (644376).

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

396384 is a wasteful number, since it uses less digits than its factorization.

396384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4134 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 396384 is about 629.5903430009. The cubic root of 396384 is about 73.4579332609.

It can be divided in two parts, 396 and 384, that added together give a triangular number (780 = T₃₉).

The spelling of 396384 in words is "three hundred ninety-six thousand, three hundred eighty-four".