491361984 has 112 divisors (see below), whose sum is σ = 1456537600. Its totient is φ = 162425088.

The previous prime is 491361973. The next prime is 491362007. The reversal of 491361984 is 489163194.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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, 218337 + ... + 220575.

It is an arithmetic number, because the mean of its divisors is an integer number (13004800).

Almost surely, 2^491361984 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 491361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728268800).

491361984 is an abundant number, since it is smaller than the sum of its proper divisors (965175616).

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

491361984 is a wasteful number, since it uses less digits than its factorization.

491361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2371 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 491361984 is about 22166.6863558810. The cubic root of 491361984 is about 789.1032841990.

The spelling of 491361984 in words is "four hundred ninety-one million, three hundred sixty-one thousand, nine hundred eighty-four".