491128560 has 240 divisors, whose sum is σ = 1793885184. Its totient is φ = 119697408.

The previous prime is 491128553. The next prime is 491128577. The reversal of 491128560 is 65821194.

491128560 is a `hidden beast` number, since 4 + 91 + 1 + 2 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1282129 + ... + 1282511.

Almost surely, 2^491128560 is an apocalyptic number.

491128560 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 491128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896942592).

491128560 is an abundant number, since it is smaller than the sum of its proper divisors (1302756624).

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

491128560 is a wasteful number, since it uses less digits than its factorization.

491128560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 491128560 is about 22161.4205320868. The cubic root of 491128560 is about 788.9783085691.

The spelling of 491128560 in words is "four hundred ninety-one million, one hundred twenty-eight thousand, five hundred sixty".