488604545280 has 360 divisors, whose sum is σ = 1851165234072. Its totient is φ = 122629718016.

The previous prime is 488604545267. The next prime is 488604545293. The reversal of 488604545280 is 82545406884.

488604545280 is a `hidden beast` number, since 4 + 8 + 8 + 60 + 4 + 54 + 528 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488604545267) and next prime (488604545293).

It can be written as a sum of positive squares in 4 ways, for example, as 150829703424 + 337774841856 = 388368^2 + 581184^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1623954 + ... + 1901166.

Almost surely, 2^488604545280 is an apocalyptic number.

488604545280 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 488604545280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925582617036).

488604545280 is an abundant number, since it is smaller than the sum of its proper divisors (1362560688792).

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

488604545280 is a wasteful number, since it uses less digits than its factorization.

488604545280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277263 (or 277240 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 488604545280 in words is "four hundred eighty-eight billion, six hundred four million, five hundred forty-five thousand, two hundred eighty".