396704 has 72 divisors (see below), whose sum is σ = 1034208. Its totient is φ = 147840.

The previous prime is 396703. The next prime is 396709. The reversal of 396704 is 407693.

396704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396704.

It is not an unprimeable number, because it can be changed into a prime (396703) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17237 + ... + 17259.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2³⁹⁶⁷⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517104).

396704 is an abundant number, since it is smaller than the sum of its proper divisors (637504).

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

396704 is a wasteful number, since it uses less digits than its factorization.

396704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 396704 is about 629.8444252353. The cubic root of 396704 is about 73.4776954240.

It can be divided in two parts, 396 and 704, that multiplied together give a square (278784 = 528²).

The spelling of 396704 in words is "three hundred ninety-six thousand, seven hundred four".