397408 has 24 divisors (see below), whose sum is σ = 854280. Its totient is φ = 180480.

The previous prime is 397379. The next prime is 397427. The reversal of 397408 is 804793.

It is a happy number.

397408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 397408.

It is a congruent number.

It is an unprimeable number.

397408 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 213 + ... + 916.

It is an arithmetic number, because the mean of its divisors is an integer number (35595).

2³⁹⁷⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

397408 is an abundant number, since it is smaller than the sum of its proper divisors (456872).

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

397408 is a wasteful number, since it uses less digits than its factorization.

397408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 397408 is about 630.4030456779. The cubic root of 397408 is about 73.5211348048.

It can be divided in two parts, 39 and 7408, that added together give a palindrome (7447).

The spelling of 397408 in words is "three hundred ninety-seven thousand, four hundred eight".