396448 has 24 divisors (see below), whose sum is σ = 841428. Its totient is φ = 182784.

The previous prime is 396443. The next prime is 396449. The reversal of 396448 is 844693.

396448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 374544 + 21904 = 612^2 + 148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396443) by changing a digit.

396448 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, 61 + ... + 892.

2³⁹⁶⁴⁴⁸ is an apocalyptic number.

It is an amenable number.

396448 is an abundant number, since it is smaller than the sum of its proper divisors (444980).

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

396448 is a wasteful number, since it uses less digits than its factorization.

396448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 968 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 396448 is about 629.6411676503. The cubic root of 396448 is about 73.4618865441.

The spelling of 396448 in words is "three hundred ninety-six thousand, four hundred forty-eight".