432986372289 has 21 divisors (see below), whose sum is σ = 649209224209. Its totient is φ = 288645737220.

The previous prime is 432986372263. The next prime is 432986372293. The reversal of 432986372289 is 982273689234.

The square root of 432986372289 is 658017.

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

432986372289 is a `hidden beast` number, since 4 + 3 + 298 + 63 + 7 + 2 + 289 = 666.

It is not a de Polignac number, because 432986372289 - 2⁵ = 432986372257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432986372249) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 17754274 + ... + 17778644.

Almost surely, 2^432986372289 is an apocalyptic number.

432986372289 is the 658017-th square number.

432986372289 is the 329009-th centered octagonal number.

It is an amenable number.

432986372289 is a deficient number, since it is larger than the sum of its proper divisors (216222851920).

432986372289 is an frugal number, since it uses more digits than its factorization.

432986372289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48760 (or 24374 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 432986372289 in words is "four hundred thirty-two billion, nine hundred eighty-six million, three hundred seventy-two thousand, two hundred eighty-nine".