488087808 has 288 divisors, whose sum is σ = 1538396160. Its totient is φ = 136028160.

The previous prime is 488087767. The next prime is 488087813. The reversal of 488087808 is 808780884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5880535 + ... + 5880617.

Almost surely, 2^488087808 is an apocalyptic number.

488087808 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 488087808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769198080).

488087808 is an abundant number, since it is smaller than the sum of its proper divisors (1050308352).

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

488087808 is a wasteful number, since it uses less digits than its factorization.

488087808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The square root of 488087808 is about 22092.7093856774. The cubic root of 488087808 is about 787.3466545460.

It can be divided in two parts, 48808 and 7808, that added together give a triangular number (56616 = T₃₃₆).

The spelling of 488087808 in words is "four hundred eighty-eight million, eighty-seven thousand, eight hundred eight".