488337433920 has 504 divisors, whose sum is σ = 2001590391528. Its totient is φ = 108896256000.

The previous prime is 488337433873. The next prime is 488337433963. The reversal of 488337433920 is 29334733884.

488337433920 is a `hidden beast` number, since 48 + 83 + 3 + 7 + 433 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 31772349504 + 456565084416 = 178248^2 + 675696^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5743720 + ... + 5828120.

It is an arithmetic number, because the mean of its divisors is an integer number (3971409507).

Almost surely, 2^488337433920 is an apocalyptic number.

488337433920 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 488337433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000795195764).

488337433920 is an abundant number, since it is smaller than the sum of its proper divisors (1513252957608).

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

488337433920 is a wasteful number, since it uses less digits than its factorization.

488337433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84479 (or 84459 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 488337433920 in words is "four hundred eighty-eight billion, three hundred thirty-seven million, four hundred thirty-three thousand, nine hundred twenty".