487664100 has 432 divisors, whose sum is σ = 1975873536. Its totient is φ = 97632000.

The previous prime is 487664053. The next prime is 487664117. The reversal of 487664100 is 1466784.

487664100 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 641 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 2148187 + ... + 2148413.

Almost surely, 2^487664100 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 487664100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987936768).

487664100 is an abundant number, since it is smaller than the sum of its proper divisors (1488209436).

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

487664100 is a wasteful number, since it uses less digits than its factorization.

487664100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 487664100 is about 22083.1179863714. The cubic root of 487664100 is about 787.1187572623.

The spelling of 487664100 in words is "four hundred eighty-seven million, six hundred sixty-four thousand, one hundred".