488488800 has 144 divisors (see below), whose sum is σ = 1633301712. Its totient is φ = 126720000.

The previous prime is 488488769. The next prime is 488488811. The reversal of 488488800 is 8884884.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 488488800.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 86050 + ... + 91550.

It is an arithmetic number, because the mean of its divisors is an integer number (11342373).

Almost surely, 2^488488800 is an apocalyptic number.

488488800 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 488488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816650856).

488488800 is an abundant number, since it is smaller than the sum of its proper divisors (1144812912).

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

488488800 is a wasteful number, since it uses less digits than its factorization.

488488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The square root of 488488800 is about 22101.7827335263. The cubic root of 488488800 is about 787.5622122683.

It can be divided in two parts, 48 and 8488800, that added together give a palindrome (8488848).

The spelling of 488488800 in words is "four hundred eighty-eight million, four hundred eighty-eight thousand, eight hundred".