488098260288 has 336 divisors, whose sum is σ = 1475799683904. Its totient is φ = 159927644160.

The previous prime is 488098260281. The next prime is 488098260313. The reversal of 488098260288 is 882062890884.

488098260288 is a `hidden beast` number, since 4 + 8 + 8 + 0 + 98 + 260 + 288 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488098260281) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 227975698 + ... + 227977838.

It is an arithmetic number, because the mean of its divisors is an integer number (4392260964).

Almost surely, 2^488098260288 is an apocalyptic number.

488098260288 is a gapful number since it is divisible by the number (48) 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 488098260288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737899841952).

488098260288 is an abundant number, since it is smaller than the sum of its proper divisors (987701423616).

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

488098260288 is a wasteful number, since it uses less digits than its factorization.

488098260288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 488098260288 in words is "four hundred eighty-eight billion, ninety-eight million, two hundred sixty thousand, two hundred eighty-eight".