490290561 has 12 divisors (see below), whose sum is σ = 709128420. Its totient is φ = 326430720.

The previous prime is 490290551. The next prime is 490290583. The reversal of 490290561 is 165092094.

490290561 = 383² + 384² + ... + 1151².

490290561 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 90 + 561 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 214066161 + 276224400 = 14631^2 + 16620^2 .

It is not a de Polignac number, because 490290561 - 2²⁵ = 456736129 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (490290551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28500 + ... + 42341.

It is an arithmetic number, because the mean of its divisors is an integer number (59094035).

Almost surely, 2^490290561 is an apocalyptic number.

It is an amenable number.

490290561 is a deficient number, since it is larger than the sum of its proper divisors (218837859).

490290561 is a wasteful number, since it uses less digits than its factorization.

490290561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71616 (or 71613 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 490290561 is about 22142.5057525114. The cubic root of 490290561 is about 788.5293158574.

The spelling of 490290561 in words is "four hundred ninety million, two hundred ninety thousand, five hundred sixty-one".