488493 has 6 divisors (see below), whose sum is σ = 705614. Its totient is φ = 325656.

The previous prime is 488473. The next prime is 488503. The reversal of 488493 is 394884.

It can be written as a sum of positive squares in only one way, i.e., 338724 + 149769 = 582^2 + 387^2 .

It is not a de Polignac number, because 488493 - 2¹⁰ = 487469 is a prime.

It is a super-2 number, since 2×488493² = 477250822098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27130 + ... + 27147.

2⁴⁸⁸⁴⁹³ is an apocalyptic number.

It is an amenable number.

488493 is a deficient number, since it is larger than the sum of its proper divisors (217121).

488493 is a wasteful number, since it uses less digits than its factorization.

488493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54283 (or 54280 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 488493 is about 698.9227425116. The cubic root of 488493 is about 78.7564469401.

The spelling of 488493 in words is "four hundred eighty-eight thousand, four hundred ninety-three".