6405456509 has 16 divisors (see below), whose sum is σ = 6537888000. Its totient is φ = 6274863744.

The previous prime is 6405456493. The next prime is 6405456521. The reversal of 6405456509 is 9056545046.

It is a cyclic number.

It is not a de Polignac number, because 6405456509 - 2⁴ = 6405456493 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6405456509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6405456569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3408032 + ... + 3409910.

It is an arithmetic number, because the mean of its divisors is an integer number (408618000).

Almost surely, 2^6405456509 is an apocalyptic number.

It is an amenable number.

6405456509 is a deficient number, since it is larger than the sum of its proper divisors (132431491).

6405456509 is a wasteful number, since it uses less digits than its factorization.

6405456509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332.

The product of its (nonzero) digits is 648000, while the sum is 44.

The square root of 6405456509 is about 80034.0959154284. The cubic root of 6405456509 is about 1857.1630267144.

The spelling of 6405456509 in words is "six billion, four hundred five million, four hundred fifty-six thousand, five hundred nine".