408955889664 has 672 divisors, whose sum is σ = 1417944528000. Its totient is φ = 115450085376.

The previous prime is 408955889561. The next prime is 408955889669. The reversal of 408955889664 is 466988559804.

408955889664 is a `hidden beast` number, since 4 + 0 + 8 + 9 + 558 + 8 + 9 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 408955889592 and 408955889601.

It is not an unprimeable number, because it can be changed into a prime (408955889669) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1139152717 + ... + 1139153075.

It is an arithmetic number, because the mean of its divisors is an integer number (2110036500).

Almost surely, 2^408955889664 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 408955889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708972264000).

408955889664 is an abundant number, since it is smaller than the sum of its proper divisors (1008988638336).

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

408955889664 is an equidigital number, since it uses as much as digits as its factorization.

408955889664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 408955889664 in words is "four hundred eight billion, nine hundred fifty-five million, eight hundred eighty-nine thousand, six hundred sixty-four".