488844 has 36 divisors (see below), whose sum is σ = 1272544. Its totient is φ = 158112.

The previous prime is 488833. The next prime is 488861. The reversal of 488844 is 448884.

488844 is nontrivially palindromic in base 15.

488844 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 488799 and 488808.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1149 + ... + 1515.

2⁴⁸⁸⁸⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636272).

488844 is an abundant number, since it is smaller than the sum of its proper divisors (783700).

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

488844 is a wasteful number, since it uses less digits than its factorization.

488844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 409 counting only the distinct ones).

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

The square root of 488844 is about 699.1737981361. The cubic root of 488844 is about 78.7753055485.

The spelling of 488844 in words is "four hundred eighty-eight thousand, eight hundred forty-four".