488000 has 56 divisors (see below), whose sum is σ = 1228344. Its totient is φ = 192000.

The previous prime is 487997. The next prime is 488003. The reversal of 488000 is 884.

It is an interprime number because it is at equal distance from previous prime (487997) and next prime (488003).

It can be written as a sum of positive squares in 4 ways, for example, as 118336 + 369664 = 344^2 + 608^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 488000.

It is not an unprimeable number, because it can be changed into a prime (488003) 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, 7970 + ... + 8030.

2⁴⁸⁸⁰⁰⁰ is an apocalyptic number.

488000 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 488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614172).

488000 is an abundant number, since it is smaller than the sum of its proper divisors (740344).

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

488000 is an equidigital number, since it uses as much as digits as its factorization.

488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 488000 is about 698.5699678629. The cubic root of 488000 is about 78.7299436620.

Adding to 488000 its reverse (884), we get a palindrome (488884).

The spelling of 488000 in words is "four hundred eighty-eight thousand".