488824 has 48 divisors (see below), whose sum is σ = 1128600. Its totient is φ = 197568.

The previous prime is 488821. The next prime is 488827. The reversal of 488824 is 428884.

It is an interprime number because it is at equal distance from previous prime (488821) and next prime (488827).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 488824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11347 + ... + 11389.

2⁴⁸⁸⁸²⁴ 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 488824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564300).

488824 is an abundant number, since it is smaller than the sum of its proper divisors (639776).

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

488824 is a wasteful number, since it uses less digits than its factorization.

488824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 81 counting only the distinct ones).

The product of its digits is 16384, while the sum is 34.

The square root of 488824 is about 699.1594953943. The cubic root of 488824 is about 78.7742312265.

The spelling of 488824 in words is "four hundred eighty-eight thousand, eight hundred twenty-four".