488500 has 24 divisors (see below), whose sum is σ = 1067976. Its totient is φ = 195200.

The previous prime is 488473. The next prime is 488503. The reversal of 488500 is 5884.

488500 = 131² + 132² + ... + 154².

It can be written as a sum of positive squares in 4 ways, for example, as 1296 + 487204 = 36^2 + 698^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488503) by changing a digit.

488500 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12 + ... + 988.

It is an arithmetic number, because the mean of its divisors is an integer number (44499).

2⁴⁸⁸⁵⁰⁰ 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 488500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533988).

488500 is an abundant number, since it is smaller than the sum of its proper divisors (579476).

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

488500 is a wasteful number, since it uses less digits than its factorization.

488500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 488500 is about 698.9277502003. The cubic root of 488500 is about 78.7568231259.

The spelling of 488500 in words is "four hundred eighty-eight thousand, five hundred".