491917000 has 64 divisors (see below), whose sum is σ = 1161903600. Its totient is φ = 194918400.

The previous prime is 491916989. The next prime is 491917003. The reversal of 491917000 is 719194.

491917000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5008644 + 486908356 = 2238^2 + 22066^2 .

It is not an unprimeable number, because it can be changed into a prime (491917003) 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, 106744 + ... + 111256.

Almost surely, 2^491917000 is an apocalyptic number.

491917000 is a gapful number since it is divisible by the number (40) 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 491917000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580951800).

491917000 is an abundant number, since it is smaller than the sum of its proper divisors (669986600).

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

491917000 is a wasteful number, since it uses less digits than its factorization.

491917000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4643 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 31.

The square root of 491917000 is about 22179.2019694127. The cubic root of 491917000 is about 789.4002819085.

The spelling of 491917000 in words is "four hundred ninety-one million, nine hundred seventeen thousand".