488448 has 66 divisors (see below), whose sum is σ = 1436994. Its totient is φ = 159744.

The previous prime is 488441. The next prime is 488459. The reversal of 488448 is 844884.

It can be written as a sum of positive squares in only one way, i.e., 451584 + 36864 = 672^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9190 + ... + 9242.

2⁴⁸⁸⁴⁴⁸ is an apocalyptic number.

488448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718497).

488448 is an abundant number, since it is smaller than the sum of its proper divisors (948546).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

488448 is a wasteful number, since it uses less digits than its factorization.

488448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 488448 is about 698.8905493709. The cubic root of 488448 is about 78.7540285165.

It can be divided in two parts, 4884 and 48, that multiplied together give a palindrome (234432).

The spelling of 488448 in words is "four hundred eighty-eight thousand, four hundred forty-eight".