408906064224 has 72 divisors (see below), whose sum is σ = 1328944715280. Its totient is φ = 116830303488.

The previous prime is 408906064207. The next prime is 408906064247. The reversal of 408906064224 is 422460609804.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 408906064224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101413179 + ... + 101417210.

It is an arithmetic number, because the mean of its divisors is an integer number (18457565490).

Almost surely, 2^408906064224 is an apocalyptic number.

It is an amenable number.

408906064224 is an abundant number, since it is smaller than the sum of its proper divisors (920038651056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408906064224 is a wasteful number, since it uses less digits than its factorization.

408906064224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202830412 (or 202830401 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 408906064224 in words is "four hundred eight billion, nine hundred six million, sixty-four thousand, two hundred twenty-four".