488920 has 32 divisors (see below), whose sum is σ = 1166400. Its totient is φ = 183808.

The previous prime is 488909. The next prime is 488921. The reversal of 488920 is 29884.

488920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 1039.

It is an arithmetic number, because the mean of its divisors is an integer number (36450).

2⁴⁸⁸⁹²⁰ is an apocalyptic number.

488920 is a gapful number since it is divisible by the number (40) 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 488920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583200).

488920 is an abundant number, since it is smaller than the sum of its proper divisors (677480).

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

488920 is a wasteful number, since it uses less digits than its factorization.

488920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 488920 is about 699.2281458866. The cubic root of 488920 is about 78.7793877049.

The spelling of 488920 in words is "four hundred eighty-eight thousand, nine hundred twenty".