488502960 has 320 divisors, whose sum is σ = 1755316224. Its totient is φ = 111283200.

The previous prime is 488502953. The next prime is 488502979. The reversal of 488502960 is 69205884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3846417 + ... + 3846543.

Almost surely, 2^488502960 is an apocalyptic number.

488502960 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 488502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877658112).

488502960 is an abundant number, since it is smaller than the sum of its proper divisors (1266813264).

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

488502960 is a wasteful number, since it uses less digits than its factorization.

488502960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 488502960 is about 22102.1030673554. The cubic root of 488502960 is about 787.5698219775.

The spelling of 488502960 in words is "four hundred eighty-eight million, five hundred two thousand, nine hundred sixty".