488560 has 40 divisors (see below), whose sum is σ = 1178496. Its totient is φ = 188160.

The previous prime is 488539. The next prime is 488567. The reversal of 488560 is 65884.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488567) 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, 2382 + ... + 2578.

2⁴⁸⁸⁵⁶⁰ is an apocalyptic number.

488560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589248).

488560 is an abundant number, since it is smaller than the sum of its proper divisors (689936).

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

488560 is a wasteful number, since it uses less digits than its factorization.

488560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 488560 is about 698.9706717739. The cubic root of 488560 is about 78.7600474289.

The spelling of 488560 in words is "four hundred eighty-eight thousand, five hundred sixty".