491280000 has 320 divisors, whose sum is σ = 1720699200. Its totient is φ = 123904000.

The previous prime is 491279989. The next prime is 491280001. The reversal of 491280000 is 82194.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (491280001) 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 39 ways as a sum of consecutive naturals, for example, 5519956 + ... + 5520044.

It is an arithmetic number, because the mean of its divisors is an integer number (5377185).

Almost surely, 2^491280000 is an apocalyptic number.

491280000 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 491280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860349600).

491280000 is an abundant number, since it is smaller than the sum of its proper divisors (1229419200).

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

491280000 is an equidigital number, since it uses as much as digits as its factorization.

491280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 491280000 is about 22164.8370172217. The cubic root of 491280000 is about 789.0593943282.

The spelling of 491280000 in words is "four hundred ninety-one million, two hundred eighty thousand".