488810560 has 112 divisors (see below), whose sum is σ = 1350532224. Its totient is φ = 165040128.

The previous prime is 488810519. The next prime is 488810563. The reversal of 488810560 is 65018884.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (488810563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148452 + ... + 151708.

Almost surely, 2^488810560 is an apocalyptic number.

488810560 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 488810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675266112).

488810560 is an abundant number, since it is smaller than the sum of its proper divisors (861721664).

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

488810560 is a wasteful number, since it uses less digits than its factorization.

488810560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 488810560 is about 22109.0605861036. The cubic root of 488810560 is about 787.7350926561.

The spelling of 488810560 in words is "four hundred eighty-eight million, eight hundred ten thousand, five hundred sixty".