409888964646 has 96 divisors (see below), whose sum is σ = 1053979250688. Its totient is φ = 112654532160.

The previous prime is 409888964627. The next prime is 409888964717. The reversal of 409888964646 is 646469888904.

409888964646 is a `hidden beast` number, since 4 + 0 + 9 + 88 + 89 + 6 + 464 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338116 + ... + 966488.

It is an arithmetic number, because the mean of its divisors is an integer number (10978950528).

Almost surely, 2^409888964646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409888964646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526989625344).

409888964646 is an abundant number, since it is smaller than the sum of its proper divisors (644090286042).

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

409888964646 is a wasteful number, since it uses less digits than its factorization.

409888964646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628586 (or 628583 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 409888964646 in words is "four hundred nine billion, eight hundred eighty-eight million, nine hundred sixty-four thousand, six hundred forty-six".