406729272289 has 8 divisors (see below), whose sum is σ = 416122938792. Its totient is φ = 397399292160.

The previous prime is 406729272277. The next prime is 406729272307. The reversal of 406729272289 is 982272927604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 193670406400 + 213058865889 = 440080^2 + 461583^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406729272289 - 2⁷ = 406729272161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406729272239) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15908674 + ... + 15934219.

It is an arithmetic number, because the mean of its divisors is an integer number (52015367349).

Almost surely, 2^406729272289 is an apocalyptic number.

It is an amenable number.

406729272289 is a deficient number, since it is larger than the sum of its proper divisors (9393666503).

406729272289 is a wasteful number, since it uses less digits than its factorization.

406729272289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31843187.

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 406729272289 in words is "four hundred six billion, seven hundred twenty-nine million, two hundred seventy-two thousand, two hundred eighty-nine".