491148756 has 108 divisors (see below), whose sum is σ = 1494167220. Its totient is φ = 135475200.

The previous prime is 491148719. The next prime is 491148761. The reversal of 491148756 is 657841194.

It can be written as a sum of positive squares in 2 ways, for example, as 321628356 + 169520400 = 17934^2 + 13020^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46356 + ... + 55956.

Almost surely, 2^491148756 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 491148756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747083610).

491148756 is an abundant number, since it is smaller than the sum of its proper divisors (1003018464).

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

491148756 is a wasteful number, since it uses less digits than its factorization.

491148756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9654 (or 9642 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 491148756 is about 22161.8761841140. The cubic root of 491148756 is about 788.9891231085.

The spelling of 491148756 in words is "four hundred ninety-one million, one hundred forty-eight thousand, seven hundred fifty-six".