491116000 has 96 divisors (see below), whose sum is σ = 1227713760. Its totient is φ = 193024000.

The previous prime is 491115997. The next prime is 491116007. The reversal of 491116000 is 611194.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491116007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234960 + ... + 237040.

It is an arithmetic number, because the mean of its divisors is an integer number (12788685).

Almost surely, 2^491116000 is an apocalyptic number.

491116000 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 491116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613856880).

491116000 is an abundant number, since it is smaller than the sum of its proper divisors (736597760).

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

491116000 is a wasteful number, since it uses less digits than its factorization.

491116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

The square root of 491116000 is about 22161.1371549386. The cubic root of 491116000 is about 788.9715827999.

Adding to 491116000 its reverse (611194), we get a palindrome (491727194).

The spelling of 491116000 in words is "four hundred ninety-one million, one hundred sixteen thousand".