406427925289 has 9 divisors (see below), whose sum is σ = 431753288421. Its totient is φ = 382510200000.

The previous prime is 406427925269. The next prime is 406427925301. The reversal of 406427925289 is 982529724604.

The square root of 406427925289 is 637517.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11908265625 + 394519659664 = 109125^2 + 628108^2 .

It is not a de Polignac number, because 406427925289 - 2¹¹ = 406427923241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406427925229) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10819039 + ... + 10856539.

Almost surely, 2^406427925289 is an apocalyptic number.

406427925289 is the 637517-th square number.

406427925289 is the 318759-th centered octagonal number.

It is an amenable number.

406427925289 is a deficient number, since it is larger than the sum of its proper divisors (25325363132).

406427925289 is an frugal number, since it uses more digits than its factorization.

406427925289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75036 (or 37518 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

It can be divided in two parts, 406427 and 925289, that added together give a square (1331716 = 1154²).

The spelling of 406427925289 in words is "four hundred six billion, four hundred twenty-seven million, nine hundred twenty-five thousand, two hundred eighty-nine".