487601100 has 144 divisors (see below), whose sum is σ = 1791552000. Its totient is φ = 111447360.

The previous prime is 487601087. The next prime is 487601117. The reversal of 487601100 is 1106784.

It is a happy number.

487601100 is a `hidden beast` number, since 48 + 7 + 601 + 10 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6001 + ... + 31799.

Almost surely, 2^487601100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 487601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895776000).

487601100 is an abundant number, since it is smaller than the sum of its proper divisors (1303950900).

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

487601100 is a wasteful number, since it uses less digits than its factorization.

487601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 487601100 is about 22081.6915112951. The cubic root of 487601100 is about 787.0848605581.

Adding to 487601100 its reverse (1106784), we get a palindrome (488707884).

The spelling of 487601100 in words is "four hundred eighty-seven million, six hundred one thousand, one hundred".