488704129920 has 640 divisors, whose sum is σ = 1882958711040. Its totient is φ = 120329404416.

The previous prime is 488704129913. The next prime is 488704129931. The reversal of 488704129920 is 29921407884.

488704129920 is a `hidden beast` number, since 48 + 87 + 0 + 412 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46702609 + ... + 46713071.

It is an arithmetic number, because the mean of its divisors is an integer number (2942122986).

Almost surely, 2^488704129920 is an apocalyptic number.

488704129920 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 488704129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941479355520).

488704129920 is an abundant number, since it is smaller than the sum of its proper divisors (1394254581120).

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

488704129920 is a wasteful number, since it uses less digits than its factorization.

488704129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564 (or 10543 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 488704129920 in words is "four hundred eighty-eight billion, seven hundred four million, one hundred twenty-nine thousand, nine hundred twenty".