497608408656 has 240 divisors, whose sum is σ = 1452822763392. Its totient is φ = 158897894400.

The previous prime is 497608408643. The next prime is 497608408657. The reversal of 497608408656 is 656804806794.

497608408656 is a `hidden beast` number, since 497 + 6 + 0 + 84 + 0 + 8 + 65 + 6 = 666.

It is a super-2 number, since 2×497608408656² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 497608408593 and 497608408602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497608408657) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51759306 + ... + 51768918.

Almost surely, 2^497608408656 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 497608408656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726411381696).

497608408656 is an abundant number, since it is smaller than the sum of its proper divisors (955214354736).

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

497608408656 is a wasteful number, since it uses less digits than its factorization.

497608408656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9842 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 497608408656 in words is "four hundred ninety-seven billion, six hundred eight million, four hundred eight thousand, six hundred fifty-six".