488720 has 40 divisors (see below), whose sum is σ = 1171800. Its totient is φ = 189440.

The previous prime is 488717. The next prime is 488723. The reversal of 488720 is 27884.

It is an interprime number because it is at equal distance from previous prime (488717) and next prime (488723).

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 473344 = 124^2 + 688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 (488723) 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, 3206 + ... + 3354.

It is an arithmetic number, because the mean of its divisors is an integer number (29295).

2⁴⁸⁸⁷²⁰ is an apocalyptic number.

488720 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 488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585900).

488720 is an abundant number, since it is smaller than the sum of its proper divisors (683080).

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

488720 is a wasteful number, since it uses less digits than its factorization.

488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 488720 is about 699.0851164200. The cubic root of 488720 is about 78.7686442796.

The spelling of 488720 in words is "four hundred eighty-eight thousand, seven hundred twenty".