488916 has 36 divisors (see below), whose sum is σ = 1284192. Its totient is φ = 162648.

The previous prime is 488909. The next prime is 488921. The reversal of 488916 is 619884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

488916 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 11 ways as a sum of consecutive naturals, for example, 721 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (35672).

2⁴⁸⁸⁹¹⁶ 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 488916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096).

488916 is an abundant number, since it is smaller than the sum of its proper divisors (795276).

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

488916 is a wasteful number, since it uses less digits than its factorization.

488916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 488916 is about 699.2252855840. The cubic root of 488916 is about 78.7791728651.

The spelling of 488916 in words is "four hundred eighty-eight thousand, nine hundred sixteen".