490576488417 has 10 divisors (see below), whose sum is σ = 732836482818. Its totient is φ = 327050992224.

The previous prime is 490576488373. The next prime is 490576488433. The reversal of 490576488417 is 714884675094.

490576488417 is a `hidden beast` number, since 4 + 9 + 0 + 576 + 48 + 8 + 4 + 17 = 666.

It can be written as a sum of positive squares in only one way, i.e., 386972329041 + 103604159376 = 622071^2 + 321876^2 .

It is not a de Polignac number, because 490576488417 - 2⁸ = 490576488161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (490576488917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3028249848 + ... + 3028250009.

Almost surely, 2^490576488417 is an apocalyptic number.

It is an amenable number.

490576488417 is a deficient number, since it is larger than the sum of its proper divisors (242259994401).

490576488417 is an equidigital number, since it uses as much as digits as its factorization.

490576488417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6056499869 (or 6056499860 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 490576488417 in words is "four hundred ninety billion, five hundred seventy-six million, four hundred eighty-eight thousand, four hundred seventeen".