490056516 has 18 divisors (see below), whose sum is σ = 1238754062. Its totient is φ = 163352160.

The previous prime is 490056499. The next prime is 490056533. The reversal of 490056516 is 615650094.

490056516 is a `hidden beast` number, since 4 + 90 + 0 + 56 + 516 = 666.

It is an interprime number because it is at equal distance from previous prime (490056499) and next prime (490056533).

It can be written as a sum of positive squares in only one way, i.e., 443270916 + 46785600 = 21054^2 + 6840^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 13612681 = 490056516 / (4 + 9 + 0 + 0 + 5 + 6 + 5 + 1 + 6).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6806305 + ... + 6806376.

Almost surely, 2^490056516 is an apocalyptic number.

It is an amenable number.

490056516 is an abundant number, since it is smaller than the sum of its proper divisors (748697546).

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

490056516 is a wasteful number, since it uses less digits than its factorization.

490056516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612691 (or 13612686 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 490056516 is about 22137.2201506874. The cubic root of 490056516 is about 788.4038251573.

It can be divided in two parts, 4900 and 56516, that added together give a palindrome (61416).

The spelling of 490056516 in words is "four hundred ninety million, fifty-six thousand, five hundred sixteen".