491485680 has 180 divisors, whose sum is σ = 1920191832. Its totient is φ = 112331520.

The previous prime is 491485667. The next prime is 491485693. The reversal of 491485680 is 86584194.

491485680 is a `hidden beast` number, since 4 + 91 + 485 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (491485667) and next prime (491485693).

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28315 + ... + 42245.

Almost surely, 2^491485680 is an apocalyptic number.

491485680 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 491485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960095916).

491485680 is an abundant number, since it is smaller than the sum of its proper divisors (1428706152).

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

491485680 is a wasteful number, since it uses less digits than its factorization.

491485680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13964 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 491485680 is about 22169.4763131654. The cubic root of 491485680 is about 789.1694952162.

The spelling of 491485680 in words is "four hundred ninety-one million, four hundred eighty-five thousand, six hundred eighty".