488637 has 6 divisors (see below), whose sum is σ = 705822. Its totient is φ = 325752.

The previous prime is 488633. The next prime is 488639. The reversal of 488637 is 736884.

It can be written as a sum of positive squares in only one way, i.e., 488601 + 36 = 699^2 + 6^2 .

It is not a de Polignac number, because 488637 - 2² = 488633 is a prime.

It is a super-2 number, since 2×488637² = 477532235538, which contains 22 as substring.

488637 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488633) 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 in 5 ways as a sum of consecutive naturals, for example, 27138 + ... + 27155.

It is an arithmetic number, because the mean of its divisors is an integer number (117637).

2⁴⁸⁸⁶³⁷ is an apocalyptic number.

It is an amenable number.

488637 is a deficient number, since it is larger than the sum of its proper divisors (217185).

488637 is a wasteful number, since it uses less digits than its factorization.

488637 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54299 (or 54296 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 488637 is about 699.0257505986. The cubic root of 488637 is about 78.7641848975.

Subtracting from 488637 its sum of digits (36), we obtain a square (488601 = 699²).

The spelling of 488637 in words is "four hundred eighty-eight thousand, six hundred thirty-seven".