491908041 has 9 divisors (see below), whose sum is σ = 710629959.
Its totient is φ = 327894336.
The previous prime is 491908009. The next prime is 491908069. The reversal of 491908041 is 140809194.
The square root of 491908041 is 22179.
It is a perfect power (a square), and thus also a powerful number.
491908041 is a `hidden beast` number, since 491 + 90 + 80 + 4 + 1 = 666.
It can be written as a sum of positive squares in only one way, i.e., 79655625 + 412252416 = 8925^2 + 20304^2
It is a tau number, because it is divible by the number of its divisors (9).
It is not a de Polignac number, because 491908041 - 25 = 491908009 is a prime.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 491907987 and 491908005.
It is not an unprimeable number, because it can be changed into a prime (491908541) 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 8 ways as a sum of consecutive naturals, for example, 62841 + ... + 70233.
Almost surely, 2491908041 is an apocalyptic number.
491908041 is the 22179-th square number.
491908041 is the 11090-th centered octagonal number.
It is an amenable number.
491908041 is a deficient number, since it is larger than the sum of its proper divisors (218721918).
491908041 is an frugal number, since it uses more digits than its factorization.
491908041 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14792 (or 7396 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 36.
The cubic root of 491908041 is about 789.3954895824.
Multiplying 491908041 by its sum of digits (36), we get a square (17708689476 = 1330742).
The spelling of 491908041 in words is "four hundred ninety-one million, nine hundred eight thousand, forty-one".