491585328 has 320 divisors, whose sum is σ = 1699891200. Its totient is φ = 134369280.

The previous prime is 491585287. The next prime is 491585357. The reversal of 491585328 is 823585194.

491585328 is a `hidden beast` number, since 49 + 1 + 585 + 3 + 28 = 666.

It is a super-2 number, since 2×491585328² = 483312269409735168, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1813833 + ... + 1814103.

It is an arithmetic number, because the mean of its divisors is an integer number (5312160).

Almost surely, 2^491585328 is an apocalyptic number.

491585328 is a gapful number since it is divisible by the number (48) 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 491585328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

491585328 is an abundant number, since it is smaller than the sum of its proper divisors (1208305872).

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

491585328 is a wasteful number, since it uses less digits than its factorization.

491585328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 491585328 is about 22171.7236136481. The cubic root of 491585328 is about 789.2228259310. Note that the first 3 decimals are identical.

The spelling of 491585328 in words is "four hundred ninety-one million, five hundred eighty-five thousand, three hundred twenty-eight".