488330800 has 60 divisors (see below), whose sum is σ = 1175433696. Its totient is φ = 194963200.

The previous prime is 488330789. The next prime is 488330809. The reversal of 488330800 is 8033884.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (488330809) 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, 327657 + ... + 329143.

Almost surely, 2^488330800 is an apocalyptic number.

488330800 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 488330800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587716848).

488330800 is an abundant number, since it is smaller than the sum of its proper divisors (687102896).

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

488330800 is a wasteful number, since it uses less digits than its factorization.

488330800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 488330800 is about 22098.2080721492. The cubic root of 488330800 is about 787.4772916942.

The spelling of 488330800 in words is "four hundred eighty-eight million, three hundred thirty thousand, eight hundred".