405499517856 has 216 divisors, whose sum is σ = 1176724454724. Its totient is φ = 132456038400.

The previous prime is 405499517833. The next prime is 405499517881. The reversal of 405499517856 is 658715994504.

405499517856 is a `hidden beast` number, since 4 + 0 + 549 + 9 + 5 + 1 + 7 + 85 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 293352224400 + 112147293456 = 541620^2 + 334884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 405499517793 and 405499517802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578458306 + ... + 578459006.

Almost surely, 2^405499517856 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 405499517856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588362227362).

405499517856 is an abundant number, since it is smaller than the sum of its proper divisors (771224936868).

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

405499517856 is a wasteful number, since it uses less digits than its factorization.

405499517856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 405499517856 in words is "four hundred five billion, four hundred ninety-nine million, five hundred seventeen thousand, eight hundred fifty-six".