488714392320 has 1728 divisors, whose sum is σ = 2104525946880. Its totient is φ = 94385111040.

The previous prime is 488714392303. The next prime is 488714392357. The reversal of 488714392320 is 23293417884.

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 191 ways as a sum of consecutive naturals, for example, 3515930811 + ... + 3515930949.

It is an arithmetic number, because the mean of its divisors is an integer number (1217896960).

Almost surely, 2^488714392320 is an apocalyptic number.

488714392320 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 488714392320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052262973440).

488714392320 is an abundant number, since it is smaller than the sum of its proper divisors (1615811554560).

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

488714392320 is a wasteful number, since it uses less digits than its factorization.

488714392320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 488714392320 in words is "four hundred eighty-eight billion, seven hundred fourteen million, three hundred ninety-two thousand, three hundred twenty".