408044998656 has 195 divisors, whose sum is σ = 1220048721001. Its totient is φ = 135892353024.

The previous prime is 408044998619. The next prime is 408044998661. The reversal of 408044998656 is 656899440804.

The square root of 408044998656 is 638784.

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

408044998656 is a `hidden beast` number, since 4 + 0 + 80 + 4 + 499 + 8 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6596038656 + 401448960000 = 81216^2 + 633600^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 408044998593 and 408044998602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 367939030 + ... + 367940138.

Almost surely, 2^408044998656 is an apocalyptic number.

408044998656 is the 638784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408044998656

408044998656 is an abundant number, since it is smaller than the sum of its proper divisors (812003722345).

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

408044998656 is an frugal number, since it uses more digits than its factorization.

408044998656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 408044998656 in words is "four hundred eight billion, forty-four million, nine hundred ninety-eight thousand, six hundred fifty-six".