491948856 has 128 divisors (see below), whose sum is σ = 1653696000. Its totient is φ = 132281856.

The previous prime is 491948843. The next prime is 491948857. The reversal of 491948856 is 658849194.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491948857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16135 + ... + 35273.

It is an arithmetic number, because the mean of its divisors is an integer number (12919500).

Almost surely, 2^491948856 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 491948856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826848000).

491948856 is an abundant number, since it is smaller than the sum of its proper divisors (1161747144).

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

491948856 is a wasteful number, since it uses less digits than its factorization.

491948856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19178 (or 19168 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 491948856 is about 22179.9201080617. The cubic root of 491948856 is about 789.4173217699.

It can be divided in two parts, 491948 and 856, that added together give a square (492804 = 702²).

The spelling of 491948856 in words is "four hundred ninety-one million, nine hundred forty-eight thousand, eight hundred fifty-six".