488992 has 48 divisors (see below), whose sum is σ = 1149120. Its totient is φ = 200448.

The previous prime is 488981. The next prime is 488993. The reversal of 488992 is 299884.

It is a happy number.

It is a super-2 number, since 2×488992² = 478226352128, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (488993) by changing a digit.

488992 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8259 + ... + 8317.

It is an arithmetic number, because the mean of its divisors is an integer number (23940).

2⁴⁸⁸⁹⁹² 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 488992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574560).

488992 is an abundant number, since it is smaller than the sum of its proper divisors (660128).

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

488992 is a wasteful number, since it uses less digits than its factorization.

488992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 488992 is about 699.2796293329. The cubic root of 488992 is about 78.7832546207.

The spelling of 488992 in words is "four hundred eighty-eight thousand, nine hundred ninety-two".