491107680 has 288 divisors, whose sum is σ = 1941698304. Its totient is φ = 110711808.

The previous prime is 491107657. The next prime is 491107703. The reversal of 491107680 is 86701194.

491107680 is a `hidden beast` number, since 491 + 107 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (491107657) and next prime (491107703).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 836347 + ... + 836933.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2^491107680 is an apocalyptic number.

491107680 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 491107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970849152).

491107680 is an abundant number, since it is smaller than the sum of its proper divisors (1450590624).

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

491107680 is a wasteful number, since it uses less digits than its factorization.

491107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 491107680 is about 22160.9494381446. The cubic root of 491107680 is about 788.9671274502.

The spelling of 491107680 in words is "four hundred ninety-one million, one hundred seven thousand, six hundred eighty".