491731968 has 176 divisors, whose sum is σ = 1614018560. Its totient is φ = 129613824.

The previous prime is 491731963. The next prime is 491731969. The reversal of 491731968 is 869137194.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491731963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278673 + ... + 280431.

It is an arithmetic number, because the mean of its divisors is an integer number (9170560).

Almost surely, 2^491731968 is an apocalyptic number.

491731968 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 491731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807009280).

491731968 is an abundant number, since it is smaller than the sum of its proper divisors (1122286592).

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

491731968 is a wasteful number, since it uses less digits than its factorization.

491731968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1784 counting only the distinct ones).

The product of its digits is 326592, while the sum is 48.

The square root of 491731968 is about 22175.0302818283. The cubic root of 491731968 is about 789.3012932372.

The spelling of 491731968 in words is "four hundred ninety-one million, seven hundred thirty-one thousand, nine hundred sixty-eight".