488631 has 32 divisors (see below), whose sum is σ = 822528. Its totient is φ = 253440.

The previous prime is 488627. The next prime is 488633. The reversal of 488631 is 136884.

It is a happy number.

It is not a de Polignac number, because 488631 - 2² = 488627 is a prime.

It is a super-2 number, since 2×488631² = 477520508322, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax 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 31 ways as a sum of consecutive naturals, for example, 7260 + ... + 7326.

It is an arithmetic number, because the mean of its divisors is an integer number (25704).

2⁴⁸⁸⁶³¹ is an apocalyptic number.

488631 is the 374-th nonagonal number.

488631 is a deficient number, since it is larger than the sum of its proper divisors (333897).

488631 is a wasteful number, since it uses less digits than its factorization.

488631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111.

The product of its digits is 4608, while the sum is 30.

The square root of 488631 is about 699.0214588981. The cubic root of 488631 is about 78.7638625130.

Subtracting from 488631 its sum of digits (30), we obtain a square (488601 = 699²).

The spelling of 488631 in words is "four hundred eighty-eight thousand, six hundred thirty-one".