490640008849 has 9 divisors (see below), whose sum is σ = 494506425801. Its totient is φ = 486803605860.

The previous prime is 490640008811. The next prime is 490640008867. The reversal of 490640008849 is 948800046094.

The square root of 490640008849 is 700457.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 490640008849 - 2¹⁵ = 490639976081 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 490640008796 and 490640008805.

It is not an unprimeable number, because it can be changed into a prime (490640008349) 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 8 ways as a sum of consecutive naturals, for example, 91757194 + ... + 91762540.

Almost surely, 2^490640008849 is an apocalyptic number.

490640008849 is the 700457-th square number.

490640008849 is the 350229-th centered octagonal number.

It is an amenable number.

490640008849 is a deficient number, since it is larger than the sum of its proper divisors (3866416952).

490640008849 is an frugal number, since it uses more digits than its factorization.

490640008849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 5478 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 490640008849 in words is "four hundred ninety billion, six hundred forty million, eight thousand, eight hundred forty-nine".