491975568 has 120 divisors (see below), whose sum is σ = 1580224256. Its totient is φ = 139968000.

The previous prime is 491975567. The next prime is 491975579. The reversal of 491975568 is 865579194.

491975568 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 75 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491975567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272268 + ... + 274068.

Almost surely, 2^491975568 is an apocalyptic number.

491975568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491975568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790112128).

491975568 is an abundant number, since it is smaller than the sum of its proper divisors (1088248688).

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

491975568 is a wasteful number, since it uses less digits than its factorization.

491975568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2084 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The square root of 491975568 is about 22180.5222661686. The cubic root of 491975568 is about 789.4316095247.

The spelling of 491975568 in words is "four hundred ninety-one million, nine hundred seventy-five thousand, five hundred sixty-eight".