491536080 has 640 divisors, whose sum is σ = 2142720000. Its totient is φ = 101025792.

The previous prime is 491536063. The next prime is 491536103. The reversal of 491536080 is 80635194.

491536080 is a `hidden beast` number, since 49 + 1 + 5 + 3 + 608 + 0 = 666.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8331091 + ... + 8331149.

It is an arithmetic number, because the mean of its divisors is an integer number (3348000).

Almost surely, 2^491536080 is an apocalyptic number.

491536080 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 491536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071360000).

491536080 is an abundant number, since it is smaller than the sum of its proper divisors (1651183920).

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

491536080 is a wasteful number, since it uses less digits than its factorization.

491536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 491536080 is about 22170.6129820535. The cubic root of 491536080 is about 789.1964697445.

The spelling of 491536080 in words is "four hundred ninety-one million, five hundred thirty-six thousand, eighty".