409946209856260 has 576 divisors, whose sum is σ = 1179839048048640. Its totient is φ = 117950448000000.

The previous prime is 409946209856251. The next prime is 409946209856273. The reversal of 409946209856260 is 62658902649904.

It is a super-2 number, since 2×409946209856260² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 409946209856260.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16904289135 + ... + 16904313385.

It is an arithmetic number, because the mean of its divisors is an integer number (2048331680640).

Almost surely, 2^{409946209856260} 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 409946209856260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589919524024320).

409946209856260 is an abundant number, since it is smaller than the sum of its proper divisors (769892838192380).

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

409946209856260 is a wasteful number, since it uses less digits than its factorization.

409946209856260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26688 (or 26679 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 70.

The spelling of 409946209856260 in words is "four hundred nine trillion, nine hundred forty-six billion, two hundred nine million, eight hundred fifty-six thousand, two hundred sixty".