320465813409 has 45 divisors (see below), whose sum is σ = 540152371889. Its totient is φ = 183075769800.

The previous prime is 320465813401. The next prime is 320465813413. The reversal of 320465813409 is 904318564023.

The square root of 320465813409 is 566097.

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

320465813409 is a `hidden beast` number, since 3 + 20 + 4 + 6 + 581 + 3 + 40 + 9 = 666.

It is not a de Polignac number, because 320465813409 - 2³ = 320465813401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320465813401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83214334 + ... + 83218184.

Almost surely, 2^320465813409 is an apocalyptic number.

320465813409 is the 566097-th square number.

320465813409 is the 283049-th centered octagonal number.

It is an amenable number.

320465813409 is a deficient number, since it is larger than the sum of its proper divisors (219686558480).

320465813409 is an frugal number, since it uses more digits than its factorization.

320465813409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7736 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 320465813409 in words is "three hundred twenty billion, four hundred sixty-five million, eight hundred thirteen thousand, four hundred nine".