490905 has 12 divisors (see below), whose sum is σ = 850980. Its totient is φ = 261792.

The previous prime is 490891. The next prime is 490913. The reversal of 490905 is 509094.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 145161 + 345744 = 381^2 + 588^2 .

It is not a de Polignac number, because 490905 - 2⁹ = 490393 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is an unprimeable number.

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, 5410 + ... + 5499.

It is an arithmetic number, because the mean of its divisors is an integer number (70915).

2⁴⁹⁰⁹⁰⁵ is an apocalyptic number.

490905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

490905 is a deficient number, since it is larger than the sum of its proper divisors (360075).

490905 is a wasteful number, since it uses less digits than its factorization.

490905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920 (or 10917 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 490905 is about 700.6461303682. The cubic root of 490905 is about 78.8858577013.

Adding to 490905 its reverse (509094), we get a palindrome (999999).

It can be divided in two parts, 4 and 90905, that added together give a palindrome (90909).

The spelling of 490905 in words is "four hundred ninety thousand, nine hundred five".