488720736 has 192 divisors, whose sum is σ = 1715212800. Its totient is φ = 132254208.

The previous prime is 488720707. The next prime is 488720737. The reversal of 488720736 is 637027884.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 488720691 and 488720700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488720737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112786 + ... + 117038.

It is an arithmetic number, because the mean of its divisors is an integer number (8933400).

Almost surely, 2^488720736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488720736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857606400).

488720736 is an abundant number, since it is smaller than the sum of its proper divisors (1226492064).

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

488720736 is a wasteful number, since it uses less digits than its factorization.

488720736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 488720736 is about 22107.0291084080. The cubic root of 488720736 is about 787.6868382079.

The spelling of 488720736 in words is "four hundred eighty-eight million, seven hundred twenty thousand, seven hundred thirty-six".