488712 has 32 divisors (see below), whose sum is σ = 1396800. Its totient is φ = 139584.

The previous prime is 488711. The next prime is 488717. The reversal of 488712 is 217884.

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

It is a self number, because there is not a number n which added to its sum of digits gives 488712.

It is not an unprimeable number, because it can be changed into a prime (488711) 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, 1287 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (43650).

2⁴⁸⁸⁷¹² is an apocalyptic number.

488712 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

488712 is an abundant number, since it is smaller than the sum of its proper divisors (908088).

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

488712 is a wasteful number, since it uses less digits than its factorization.

488712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2921 counting only the distinct ones).

The product of its digits is 3584, while the sum is 30.

The square root of 488712 is about 699.0793946327. The cubic root of 488712 is about 78.7682144816.

The spelling of 488712 in words is "four hundred eighty-eight thousand, seven hundred twelve".