397824 has 80 divisors (see below), whose sum is σ = 1243968. Its totient is φ = 110592.

The previous prime is 397811. The next prime is 397829. The reversal of 397824 is 428793.

It is not an unprimeable number, because it can be changed into a prime (397829) by changing a digit.

397824 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, 10734 + ... + 10770.

397824 is a Friedman number, since it can be written as 8^4*(97+2^(-3)), using all its digits and the basic arithmetic operations.

2³⁹⁷⁸²⁴ 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 397824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621984).

397824 is an abundant number, since it is smaller than the sum of its proper divisors (846144).

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

397824 is an equidigital number, since it uses as much as digits as its factorization.

397824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 49 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 397824 is about 630.7329070217. The cubic root of 397824 is about 73.5467794206.

It can be divided in two parts, 397 and 824, that added together give a palindrome (1221).

The spelling of 397824 in words is "three hundred ninety-seven thousand, eight hundred twenty-four".