397474678412289 has 81 divisors (see below), whose sum is σ = 611982129067491. Its totient is φ = 248542902011520.

The previous prime is 397474678412257. The next prime is 397474678412293. The reversal of 397474678412289 is 982214876474793.

The square root of 397474678412289 is 19936767.

It is a perfect power (a square), and thus also a powerful number.

397474678412289 is a `hidden beast` number, since 3 + 9 + 7 + 47 + 467 + 84 + 12 + 28 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 309452604300225 + 88022074112064 = 17591265^2 + 9382008^2 .

It is not a de Polignac number, because 397474678412289 - 2⁵ = 397474678412257 is a prime.

It is a super-2 number, since 2×397474678412289² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (397474678412209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 438230074974 + ... + 438230075880.

Almost surely, 2^{397474678412289} is an apocalyptic number.

397474678412289 is the 19936767-th square number.

397474678412289 is the 9968384-th centered octagonal number.

It is an amenable number.

397474678412289 is a deficient number, since it is larger than the sum of its proper divisors (214507450655202).

397474678412289 is an frugal number, since it uses more digits than its factorization.

397474678412289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 1358 counting only the distinct ones).

The product of its digits is 8193540096, while the sum is 81.

The spelling of 397474678412289 in words is "three hundred ninety-seven trillion, four hundred seventy-four billion, six hundred seventy-eight million, four hundred twelve thousand, two hundred eighty-nine".