488332320 has 384 divisors, whose sum is σ = 1881169920. Its totient is φ = 104079360.

The previous prime is 488332309. The next prime is 488332379. The reversal of 488332320 is 23233884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5486836 + ... + 5486924.

It is an arithmetic number, because the mean of its divisors is an integer number (4898880).

Almost surely, 2^488332320 is an apocalyptic number.

488332320 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 488332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940584960).

488332320 is an abundant number, since it is smaller than the sum of its proper divisors (1392837600).

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

488332320 is a wasteful number, since it uses less digits than its factorization.

488332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 488332320 is about 22098.2424640513. The cubic root of 488332320 is about 787.4781087389.

The spelling of 488332320 in words is "four hundred eighty-eight million, three hundred thirty-two thousand, three hundred twenty".