491714496 has 448 divisors, whose sum is σ = 1843430400. Its totient is φ = 125079552.

The previous prime is 491714491. The next prime is 491714521. The reversal of 491714496 is 694417194.

491714496 is a `hidden beast` number, since 4 + 91 + 71 + 4 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491714491) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8334115 + ... + 8334173.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^491714496 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 491714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921715200).

491714496 is an abundant number, since it is smaller than the sum of its proper divisors (1351715904).

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

491714496 is a wasteful number, since it uses less digits than its factorization.

491714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 491714496 is about 22174.6363217077. The cubic root of 491714496 is about 789.2919447599.

The spelling of 491714496 in words is "four hundred ninety-one million, seven hundred fourteen thousand, four hundred ninety-six".