491080320 has 160 divisors (see below), whose sum is σ = 1753921620. Its totient is φ = 130940928.

The previous prime is 491080297. The next prime is 491080321. The reversal of 491080320 is 23080194.

It can be written as a sum of positive squares in 2 ways, for example, as 463454784 + 27625536 = 21528^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (491080321) 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 19 ways as a sum of consecutive naturals, for example, 47104 + ... + 56576.

Almost surely, 2^491080320 is an apocalyptic number.

491080320 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 491080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876960810).

491080320 is an abundant number, since it is smaller than the sum of its proper divisors (1262841300).

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

491080320 is an equidigital number, since it uses as much as digits as its factorization.

491080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9504 (or 9483 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 491080320 is about 22160.3321274750. The cubic root of 491080320 is about 788.9524758491.

The spelling of 491080320 in words is "four hundred ninety-one million, eighty thousand, three hundred twenty".