491941296 has 320 divisors, whose sum is σ = 1839882240. Its totient is φ = 122031360.

The previous prime is 491941279. The next prime is 491941313. The reversal of 491941296 is 692149194.

It is an interprime number because it is at equal distance from previous prime (491941279) and next prime (491941313).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764751 + ... + 765393.

It is an arithmetic number, because the mean of its divisors is an integer number (5749632).

Almost surely, 2^491941296 is an apocalyptic number.

491941296 is a gapful number since it is divisible by the number (46) 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 491941296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919941120).

491941296 is an abundant number, since it is smaller than the sum of its proper divisors (1347940944).

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

491941296 is a wasteful number, since it uses less digits than its factorization.

491941296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 689 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 491941296 is about 22179.7496829879. The cubic root of 491941296 is about 789.4132779718.

The spelling of 491941296 in words is "four hundred ninety-one million, nine hundred forty-one thousand, two hundred ninety-six".