488630880 has 240 divisors, whose sum is σ = 1772804880. Its totient is φ = 126655488.

The previous prime is 488630869. The next prime is 488630899. The reversal of 488630880 is 88036884.

488630880 is a `hidden beast` number, since 4 + 8 + 8 + 630 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479011 + ... + 480029.

It is an arithmetic number, because the mean of its divisors is an integer number (7386687).

Almost surely, 2^488630880 is an apocalyptic number.

488630880 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 488630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886402440).

488630880 is an abundant number, since it is smaller than the sum of its proper divisors (1284174000).

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

488630880 is a wasteful number, since it uses less digits than its factorization.

488630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 488630880 is about 22104.9967201988. The cubic root of 488630880 is about 787.6385606528.

The spelling of 488630880 in words is "four hundred eighty-eight million, six hundred thirty thousand, eight hundred eighty".