488706048 has 156 divisors (see below), whose sum is σ = 1466909808. Its totient is φ = 162570240.

The previous prime is 488706037. The next prime is 488706059. The reversal of 488706048 is 840607884.

488706048 is a `hidden beast` number, since 488 + 70 + 60 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (488706037) and next prime (488706059).

It is a junction number, because it is equal to n+sod(n) for n = 488705994 and 488706012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 995083 + ... + 995573.

It is an arithmetic number, because the mean of its divisors is an integer number (9403268).

Almost surely, 2^488706048 is an apocalyptic number.

488706048 is a gapful number since it is divisible by the number (48) 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 488706048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733454904).

488706048 is an abundant number, since it is smaller than the sum of its proper divisors (978203760).

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

488706048 is an frugal number, since it uses more digits than its factorization.

488706048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 488706048 is about 22106.6969038796. The cubic root of 488706048 is about 787.6789470891.

The spelling of 488706048 in words is "four hundred eighty-eight million, seven hundred six thousand, forty-eight".