491635872 has 384 divisors, whose sum is σ = 1823270400. Its totient is φ = 126157824.

The previous prime is 491635853. The next prime is 491635957. The reversal of 491635872 is 278536194.

491635872 is a `hidden beast` number, since 4 + 9 + 1 + 63 + 587 + 2 = 666.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13287438 + ... + 13287474.

It is an arithmetic number, because the mean of its divisors is an integer number (4748100).

Almost surely, 2^491635872 is an apocalyptic number.

491635872 is a gapful number since it is divisible by the number (42) 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 491635872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911635200).

491635872 is an abundant number, since it is smaller than the sum of its proper divisors (1331634528).

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

491635872 is a wasteful number, since it uses less digits than its factorization.

491635872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 62 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 491635872 is about 22172.8634145435. The cubic root of 491635872 is about 789.2498738710.

The spelling of 491635872 in words is "four hundred ninety-one million, six hundred thirty-five thousand, eight hundred seventy-two".