490516727306256 has 640 divisors, whose sum is σ = 1712665807769600. Its totient is φ = 131300016906240.

The previous prime is 490516727306209. The next prime is 490516727306267. The reversal of 490516727306256 is 652603727615094.

490516727306256 is a `hidden beast` number, since 4 + 9 + 0 + 5 + 1 + 6 + 72 + 7 + 306 + 256 = 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 = 490516727306193 and 490516727306202.

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 127 ways as a sum of consecutive naturals, for example, 1903216056 + ... + 1903473768.

It is an arithmetic number, because the mean of its divisors is an integer number (2676040324640).

Almost surely, 2^{490516727306256} 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 490516727306256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856332903884800).

490516727306256 is an abundant number, since it is smaller than the sum of its proper divisors (1222149080463344).

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

490516727306256 is a wasteful number, since it uses less digits than its factorization.

490516727306256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258124 (or 258112 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 490516727306256 in words is "four hundred ninety trillion, five hundred sixteen billion, seven hundred twenty-seven million, three hundred six thousand, two hundred fifty-six".