397008 has 40 divisors (see below), whose sum is σ = 1140800. Its totient is φ = 132192.

The previous prime is 396997. The next prime is 397013. The reversal of 397008 is 800793.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

397008 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 7 ways as a sum of consecutive naturals, for example, 28 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (28520).

2³⁹⁷⁰⁰⁸ 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 397008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570400).

397008 is an abundant number, since it is smaller than the sum of its proper divisors (743792).

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

397008 is a wasteful number, since it uses less digits than its factorization.

397008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 397008 is about 630.0857084556. The cubic root of 397008 is about 73.4964596379.

The spelling of 397008 in words is "three hundred ninety-seven thousand, eight".