488309 has 2 divisors, whose sum is σ = 488310. Its totient is φ = 488308.

The previous prime is 488303. The next prime is 488311. The reversal of 488309 is 903884.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 485809 + 2500 = 697^2 + 50^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-488309 is a prime.

Together with 488311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (488303) 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 as a sum of consecutive naturals, namely, 244154 + 244155.

It is an arithmetic number, because the mean of its divisors is an integer number (244155).

2⁴⁸⁸³⁰⁹ is an apocalyptic number.

It is an amenable number.

488309 is a deficient number, since it is larger than the sum of its proper divisors (1).

488309 is an equidigital number, since it uses as much as digits as its factorization.

488309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 488309 is about 698.7910989702. The cubic root of 488309 is about 78.7465573367.

It can be divided in two parts, 488 and 309, that added together give a palindrome (797).

The spelling of 488309 in words is "four hundred eighty-eight thousand, three hundred nine".