488610705408 has 208 divisors, whose sum is σ = 1491912147456. Its totient is φ = 139322327040.

The previous prime is 488610705379. The next prime is 488610705467. The reversal of 488610705408 is 804507016884.

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 15 ways as a sum of consecutive naturals, for example, 44808885 + ... + 44819787.

Almost surely, 2^488610705408 is an apocalyptic number.

488610705408 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 488610705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745956073728).

488610705408 is an abundant number, since it is smaller than the sum of its proper divisors (1003301442048).

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

488610705408 is a wasteful number, since it uses less digits than its factorization.

488610705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11458 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 488610705408 in words is "four hundred eighty-eight billion, six hundred ten million, seven hundred five thousand, four hundred eight".