397123200 has 144 divisors (see below), whose sum is σ = 1417129350. Its totient is φ = 105891840.

The previous prime is 397123193. The next prime is 397123241. The reversal of 397123200 is 2321793.

It can be written as a sum of positive squares in 3 ways, for example, as 376981056 + 20142144 = 19416^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21906 + ... + 35694.

Almost surely, 2^397123200 is an apocalyptic number.

397123200 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 397123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708564675).

397123200 is an abundant number, since it is smaller than the sum of its proper divisors (1020006150).

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

397123200 is a wasteful number, since it uses less digits than its factorization.

397123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13799 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 397123200 is about 19927.9502207327. The cubic root of 397123200 is about 735.0356778461.

Adding to 397123200 its reverse (2321793), we get a palindrome (399444993).

The spelling of 397123200 in words is "three hundred ninety-seven million, one hundred twenty-three thousand, two hundred".