488448800 has 72 divisors (see below), whose sum is σ = 1362787776. Its totient is φ = 167466240.

The previous prime is 488448799. The next prime is 488448809. The reversal of 488448800 is 8844884.

It is not an unprimeable number, because it can be changed into a prime (488448809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38012 + ... + 49211.

It is an arithmetic number, because the mean of its divisors is an integer number (18927608).

Almost surely, 2^488448800 is an apocalyptic number.

488448800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

488448800 is an abundant number, since it is smaller than the sum of its proper divisors (874338976).

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

488448800 is a wasteful number, since it uses less digits than its factorization.

488448800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87250 (or 87237 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The square root of 488448800 is about 22100.8778106210. The cubic root of 488448800 is about 787.5407151201.

The spelling of 488448800 in words is "four hundred eighty-eight million, four hundred forty-eight thousand, eight hundred".