488840 has 48 divisors (see below), whose sum is σ = 1220940. Its totient is φ = 176000.

The previous prime is 488833. The next prime is 488861. The reversal of 488840 is 48884.

It can be written as a sum of positive squares in 2 ways, for example, as 465124 + 23716 = 682^2 + 154^2 .

It is a junction number, because it is equal to n+sod(n) for n = 488797 and 488806.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4790 + ... + 4890.

2⁴⁸⁸⁸⁴⁰ is an apocalyptic number.

488840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

488840 is the 404-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610470).

488840 is an abundant number, since it is smaller than the sum of its proper divisors (732100).

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

488840 is a wasteful number, since it uses less digits than its factorization.

488840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 488840 is about 699.1709376111. The cubic root of 488840 is about 78.7750906864.

It can be divided in two parts, 48 and 8840, that added together give a palindrome (8888).

The spelling of 488840 in words is "four hundred eighty-eight thousand, eight hundred forty".