488688044600 has 288 divisors, whose sum is σ = 1425220498800. Its totient is φ = 154857830400.

The previous prime is 488688044597. The next prime is 488688044627. The reversal of 488688044600 is 6440886884.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 7602194 + ... + 7666206.

Almost surely, 2^488688044600 is an apocalyptic number.

488688044600 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 488688044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712610249400).

488688044600 is an abundant number, since it is smaller than the sum of its proper divisors (936532454200).

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

488688044600 is a wasteful number, since it uses less digits than its factorization.

488688044600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64103 (or 64087 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 56.

The spelling of 488688044600 in words is "four hundred eighty-eight billion, six hundred eighty-eight million, forty-four thousand, six hundred".