397872 has 50 divisors (see below), whose sum is σ = 1155308. Its totient is φ = 132192.

The previous prime is 397867. The next prime is 397897. The reversal of 397872 is 278793.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

397872 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 9 ways as a sum of consecutive naturals, for example, 1143 + ... + 1449.

2³⁹⁷⁸⁷² 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 397872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577654).

397872 is an abundant number, since it is smaller than the sum of its proper divisors (757436).

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

397872 is a wasteful number, since it uses less digits than its factorization.

397872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 312 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 397872 is about 630.7709568457. The cubic root of 397872 is about 73.5497372641.

The spelling of 397872 in words is "three hundred ninety-seven thousand, eight hundred seventy-two".