488510287200 has 432 divisors, whose sum is σ = 1923835835376. Its totient is φ = 120248064000.

The previous prime is 488510287163. The next prime is 488510287211. The reversal of 488510287200 is 2782015884.

It is a happy number.

488510287200 is a `hidden beast` number, since 48 + 8 + 510 + 28 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2430550 + ... + 2623850.

It is an arithmetic number, because the mean of its divisors is an integer number (4453323693).

Almost surely, 2^488510287200 is an apocalyptic number.

488510287200 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 488510287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961917917688).

488510287200 is an abundant number, since it is smaller than the sum of its proper divisors (1435325548176).

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

488510287200 is a wasteful number, since it uses less digits than its factorization.

488510287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193349 (or 193324 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 488510287200 in words is "four hundred eighty-eight billion, five hundred ten million, two hundred eighty-seven thousand, two hundred".