488952 has 24 divisors (see below), whose sum is σ = 1324440. Its totient is φ = 162960.

The previous prime is 488947. The next prime is 488959. The reversal of 488952 is 259884.

488952 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 (24).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488952.

It is not an unprimeable number, because it can be changed into a prime (488959) by changing a digit.

488952 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 3324 + ... + 3467.

It is an arithmetic number, because the mean of its divisors is an integer number (55185).

2⁴⁸⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

488952 is an abundant number, since it is smaller than the sum of its proper divisors (835488).

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

488952 is a wasteful number, since it uses less digits than its factorization.

488952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6796 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 488952 is about 699.2510278863. The cubic root of 488952 is about 78.7811063810.

The spelling of 488952 in words is "four hundred eighty-eight thousand, nine hundred fifty-two".