487825027200 has 2304 divisors, whose sum is σ = 2209858560000. Its totient is φ = 106077081600.

The previous prime is 487825027171. The next prime is 487825027219. The reversal of 487825027200 is 2720528784.

487825027200 is a `hidden beast` number, since 4 + 8 + 78 + 2 + 502 + 72 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 8268220771 + ... + 8268220829.

It is an arithmetic number, because the mean of its divisors is an integer number (959140000).

Almost surely, 2^487825027200 is an apocalyptic number.

487825027200 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 487825027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104929280000).

487825027200 is an abundant number, since it is smaller than the sum of its proper divisors (1722033532800).

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

487825027200 is an equidigital number, since it uses as much as digits as its factorization.

487825027200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 487825027200 in words is "four hundred eighty-seven billion, eight hundred twenty-five million, twenty-seven thousand, two hundred".