409853852856 has 256 divisors, whose sum is σ = 1405779840000. Its totient is φ = 110212462080.

The previous prime is 409853852843. The next prime is 409853852929. The reversal of 409853852856 is 658258358904.

409853852856 is a `hidden beast` number, since 4 + 0 + 9 + 8 + 53 + 8 + 528 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 409853852793 and 409853852802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1096791 + ... + 1422201.

It is an arithmetic number, because the mean of its divisors is an integer number (5491327500).

Almost surely, 2^409853852856 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 409853852856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702889920000).

409853852856 is an abundant number, since it is smaller than the sum of its proper divisors (995925987144).

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

409853852856 is a wasteful number, since it uses less digits than its factorization.

409853852856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325464 (or 325440 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 409853852856 in words is "four hundred nine billion, eight hundred fifty-three million, eight hundred fifty-two thousand, eight hundred fifty-six".