488576 has 32 divisors (see below), whose sum is σ = 1064880. Its totient is φ = 221440.

The previous prime is 488573. The next prime is 488603. The reversal of 488576 is 675884.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (488573) 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, 1235 + ... + 1581.

2⁴⁸⁸⁵⁷⁶ 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 488576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532440).

488576 is an abundant number, since it is smaller than the sum of its proper divisors (576304).

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

488576 is a wasteful number, since it uses less digits than its factorization.

488576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 360 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 488576 is about 698.9821170817. The cubic root of 488576 is about 78.7609071984.

The spelling of 488576 in words is "four hundred eighty-eight thousand, five hundred seventy-six".