408084844448 has 24 divisors (see below), whose sum is σ = 803526528420. Its totient is φ = 204014615040.

The previous prime is 408084844439. The next prime is 408084844513. The reversal of 408084844448 is 844448480804.

It can be written as a sum of positive squares in 2 ways, for example, as 307816355344 + 100268489104 = 554812^2 + 316652^2 .

It is a super-3 number, since 3×408084844448³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 408084844393 and 408084844402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629483 + ... + 1101098.

Almost surely, 2^408084844448 is an apocalyptic number.

It is an amenable number.

408084844448 is a deficient number, since it is larger than the sum of its proper divisors (395441683972).

408084844448 is a wasteful number, since it uses less digits than its factorization.

408084844448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737960 (or 1737952 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 56.

The spelling of 408084844448 in words is "four hundred eight billion, eighty-four million, eight hundred forty-four thousand, four hundred forty-eight".