491182848 has 324 divisors, whose sum is σ = 1645763392. Its totient is φ = 139898880.

The previous prime is 491182841. The next prime is 491182849. The reversal of 491182848 is 848281194.

491182848 is a `hidden beast` number, since 491 + 1 + 82 + 84 + 8 = 666.

It is a super-2 number, since 2×491182848² = 482521180338782208, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (147456) is a multiple of the sum of its prime divisors (72).

It is not an unprimeable number, because it can be changed into a prime (491182841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15844593 + ... + 15844623.

Almost surely, 2^491182848 is an apocalyptic number.

491182848 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 491182848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822881696).

491182848 is an abundant number, since it is smaller than the sum of its proper divisors (1154580544).

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

491182848 is a wasteful number, since it uses less digits than its factorization.

491182848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 72 counting only the distinct ones).

The product of its digits is 147456, while the sum is 45.

The square root of 491182848 is about 22162.6453294727. The cubic root of 491182848 is about 789.0073779954.

The spelling of 491182848 in words is "four hundred ninety-one million, one hundred eighty-two thousand, eight hundred forty-eight".