488447512200 has 900 divisors, whose sum is σ = 1902337711065. Its totient is φ = 116138603520.

The previous prime is 488447512199. The next prime is 488447512243. The reversal of 488447512200 is 2215744884.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

488447512200 is a `hidden beast` number, since 4 + 88 + 447 + 5 + 122 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 92023649316 + 396423862884 = 303354^2 + 629622^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=494190.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 25707763791 + ... + 25707763809.

Almost surely, 2^488447512200 is an apocalyptic number.

488447512200 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 488447512200

488447512200 is an abundant number, since it is smaller than the sum of its proper divisors (1413890198865).

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

488447512200 is an equidigital number, since it uses as much as digits as its factorization.

488447512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 488447512200 in words is "four hundred eighty-eight billion, four hundred forty-seven million, five hundred twelve thousand, two hundred".