397648 has 20 divisors (see below), whose sum is σ = 797940. Its totient is φ = 191744.

The previous prime is 397643. The next prime is 397673. The reversal of 397648 is 846793.

397648 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 300304 + 97344 = 548^2 + 312^2 .

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (397643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36 + ... + 892.

It is an arithmetic number, because the mean of its divisors is an integer number (39897).

2³⁹⁷⁶⁴⁸ 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 397648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398970).

397648 is an abundant number, since it is smaller than the sum of its proper divisors (400292).

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

397648 is a wasteful number, since it uses less digits than its factorization.

397648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 888 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 397648 is about 630.5933713575. The cubic root of 397648 is about 73.5359319583.

The spelling of 397648 in words is "three hundred ninety-seven thousand, six hundred forty-eight".