487723464900 has 432 divisors, whose sum is σ = 1809475158400. Its totient is φ = 109811116800.

The previous prime is 487723464889. The next prime is 487723464919. The reversal of 487723464900 is 9464327784.

487723464900 is a `hidden beast` number, since 4 + 8 + 77 + 23 + 464 + 90 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20671110 + ... + 20694690.

Almost surely, 2^487723464900 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 487723464900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904737579200).

487723464900 is an abundant number, since it is smaller than the sum of its proper divisors (1321751693500).

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

487723464900 is a wasteful number, since it uses less digits than its factorization.

487723464900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23689 (or 23665 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 487723464900 in words is "four hundred eighty-seven billion, seven hundred twenty-three million, four hundred sixty-four thousand, nine hundred".