491580072 has 96 divisors (see below), whose sum is σ = 1361112480. Its totient is φ = 160237440.

The previous prime is 491580059. The next prime is 491580121. The reversal of 491580072 is 270085194.

491580072 is a `hidden beast` number, since 4 + 9 + 1 + 580 + 0 + 72 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872863 + ... + 873425.

It is an arithmetic number, because the mean of its divisors is an integer number (14178255).

Almost surely, 2^491580072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491580072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680556240).

491580072 is an abundant number, since it is smaller than the sum of its proper divisors (869532408).

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

491580072 is a wasteful number, since it uses less digits than its factorization.

491580072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 491580072 is about 22171.6050839807. The cubic root of 491580072 is about 789.2200131470.

The spelling of 491580072 in words is "four hundred ninety-one million, five hundred eighty thousand, seventy-two".