408405506705 has 8 divisors (see below), whose sum is σ = 560098980672. Its totient is φ = 280049490288.

The previous prime is 408405506689. The next prime is 408405506783. The reversal of 408405506705 is 507605504804.

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 408405506705 - 2⁴ = 408405506689 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5834364347 + ... + 5834364416.

It is an arithmetic number, because the mean of its divisors is an integer number (70012372584).

Almost surely, 2^408405506705 is an apocalyptic number.

It is an amenable number.

408405506705 is a deficient number, since it is larger than the sum of its proper divisors (151693473967).

408405506705 is a wasteful number, since it uses less digits than its factorization.

408405506705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668728775.

The product of its (nonzero) digits is 672000, while the sum is 44.

The spelling of 408405506705 in words is "four hundred eight billion, four hundred five million, five hundred six thousand, seven hundred five".