814664409 has 32 divisors (see below), whose sum is σ = 1207852800. Its totient is φ = 485160192.

The previous prime is 814664399. The next prime is 814664413. The reversal of 814664409 is 904466418.

814664409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 814664409 - 2⁵ = 814664377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (814664419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285739 + ... + 288575.

It is an arithmetic number, because the mean of its divisors is an integer number (37745400).

Almost surely, 2^814664409 is an apocalyptic number.

It is an amenable number.

814664409 is a deficient number, since it is larger than the sum of its proper divisors (393188391).

814664409 is a wasteful number, since it uses less digits than its factorization.

814664409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089.

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 814664409 is about 28542.3266220538. The cubic root of 814664409 is about 933.9556371808.

The spelling of 814664409 in words is "eight hundred fourteen million, six hundred sixty-four thousand, four hundred nine".