490800077 has 12 divisors (see below), whose sum is σ = 522785340. Its totient is φ = 460665792.

The previous prime is 490800043. The next prime is 490800131. The reversal of 490800077 is 770008094.

It can be written as a sum of positive squares in 2 ways, for example, as 342472036 + 148328041 = 18506^2 + 12179^2 .

It is not a de Polignac number, because 490800077 - 2¹⁸ = 490537933 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490800007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33113 + ... + 45585.

It is an arithmetic number, because the mean of its divisors is an integer number (43565445).

Almost surely, 2^490800077 is an apocalyptic number.

It is an amenable number.

490800077 is a deficient number, since it is larger than the sum of its proper divisors (31985263).

490800077 is a wasteful number, since it uses less digits than its factorization.

490800077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12601 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 490800077 is about 22154.0081475114. The cubic root of 490800077 is about 788.8023710897.

The spelling of 490800077 in words is "four hundred ninety million, eight hundred thousand, seventy-seven".