488112 has 20 divisors (see below), whose sum is σ = 1261080. Its totient is φ = 162688.

The previous prime is 488069. The next prime is 488119. The reversal of 488112 is 211884.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (488119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5037 + ... + 5132.

It is an arithmetic number, because the mean of its divisors is an integer number (63054).

2⁴⁸⁸¹¹² is an apocalyptic number.

It is an amenable number.

488112 is an abundant number, since it is smaller than the sum of its proper divisors (772968).

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

488112 is a wasteful number, since it uses less digits than its factorization.

488112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10174 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 488112 is about 698.6501270307. The cubic root of 488112 is about 78.7359662571.

Adding to 488112 its reverse (211884), we get a palindrome (699996).

It can be divided in two parts, 48 and 8112, that multiplied together give a square (389376 = 624²).

The spelling of 488112 in words is "four hundred eighty-eight thousand, one hundred twelve".