490400564 has 48 divisors (see below), whose sum is σ = 965260800. Its totient is φ = 216631296.

The previous prime is 490400531. The next prime is 490400567. The reversal of 490400564 is 465004094.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 490400564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490400567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144317 + ... + 147675.

It is an arithmetic number, because the mean of its divisors is an integer number (20109600).

Almost surely, 2^490400564 is an apocalyptic number.

It is an amenable number.

490400564 is a deficient number, since it is larger than the sum of its proper divisors (474860236).

490400564 is a wasteful number, since it uses less digits than its factorization.

490400564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 490400564 is about 22144.9895913274. The cubic root of 490400564 is about 788.5882836825.

The spelling of 490400564 in words is "four hundred ninety million, four hundred thousand, five hundred sixty-four".