491999360 has 128 divisors (see below), whose sum is σ = 1227916800. Its totient is φ = 188338176.

The previous prime is 491999359. The next prime is 491999369. The reversal of 491999360 is 63999194.

It is a happy number.

491999360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 491999299 and 491999308.

It is not an unprimeable number, because it can be changed into a prime (491999369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1870589 + ... + 1870851.

It is an arithmetic number, because the mean of its divisors is an integer number (9593100).

Almost surely, 2^491999360 is an apocalyptic number.

491999360 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 491999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613958400).

491999360 is an abundant number, since it is smaller than the sum of its proper divisors (735917440).

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

491999360 is a wasteful number, since it uses less digits than its factorization.

491999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 50.

The square root of 491999360 is about 22181.0585861000. The cubic root of 491999360 is about 789.4443349900. Note that the first 3 decimals are identical.

The spelling of 491999360 in words is "four hundred ninety-one million, nine hundred ninety-nine thousand, three hundred sixty".