488 has 8 divisors (see below), whose sum is σ = 930. Its totient is φ = 240.

The previous prime is 487. The next prime is 491. The reversal of 488 is 884.

Subtracting from 488 its product of digits (256), we obtain a palindrome (232).

488 is nontrivially palindromic in base 3 and base 11.

It can be written as a sum of positive squares in only one way, i.e., 484 + 4 = 22^2 + 2^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a fibodiv number, since the Fibonacci-like sequence with seeds 48 and 8 contains 488 itself.

It is a nude number because it is divisible by every one of its digits.

488 is an undulating number in base 11.

It is a plaindrome in base 10, base 12, base 14 and base 15.

It is a nialpdrome in base 8.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 488.

It is not an unprimeable number, because it can be changed into a prime (487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23 + ... + 38.

It is an amenable number.

488 is a deficient number, since it is larger than the sum of its proper divisors (442).

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

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

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 488 is about 22.0907220344. The cubic root of 488 is about 7.8729943662.

The spelling of 488 in words is "four hundred eighty-eight", and thus it is an aban number.

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