408444281856 has 264 divisors, whose sum is σ = 1272458187000. Its totient is φ = 125441409024.

The previous prime is 408444281827. The next prime is 408444281863. The reversal of 408444281856 is 658182444804.

408444281856 is a `hidden beast` number, since 40 + 8 + 4 + 442 + 81 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2114528256 + 406329753600 = 45984^2 + 637440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71043270 + ... + 71049018.

It is an arithmetic number, because the mean of its divisors is an integer number (4819917375).

Almost surely, 2^408444281856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408444281856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636229093500).

408444281856 is an abundant number, since it is smaller than the sum of its proper divisors (864013905144).

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

408444281856 is a wasteful number, since it uses less digits than its factorization.

408444281856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6381 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 408444281856 in words is "four hundred eight billion, four hundred forty-four million, two hundred eighty-one thousand, eight hundred fifty-six".