397200 has 60 divisors (see below), whose sum is σ = 1276208. Its totient is φ = 105600.

The previous prime is 397183. The next prime is 397211. The reversal of 397200 is 2793.

397200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 397200.

It is an unprimeable number.

397200 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 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 1365.

2³⁹⁷²⁰⁰ is an apocalyptic number.

397200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638104).

397200 is an abundant number, since it is smaller than the sum of its proper divisors (879008).

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

397200 is a wasteful number, since it uses less digits than its factorization.

397200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 397200 is about 630.2380502635. The cubic root of 397200 is about 73.5083057854.

Adding to 397200 its reverse (2793), we get a palindrome (399993).

It can be divided in two parts, 3 and 97200, that multiplied together give a square (291600 = 540²).

The spelling of 397200 in words is "three hundred ninety-seven thousand, two hundred".