487648512 has 288 divisors, whose sum is σ = 1595628160. Its totient is φ = 147806208.

The previous prime is 487648501. The next prime is 487648523. The reversal of 487648512 is 215846784.

It is an interprime number because it is at equal distance from previous prime (487648501) and next prime (487648523).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278303 + ... + 7278369.

Almost surely, 2^487648512 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 487648512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797814080).

487648512 is an abundant number, since it is smaller than the sum of its proper divisors (1107979648).

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

487648512 is an frugal number, since it uses more digits than its factorization.

487648512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 85 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 487648512 is about 22082.7650442602. The cubic root of 487648512 is about 787.1103705211.

The spelling of 487648512 in words is "four hundred eighty-seven million, six hundred forty-eight thousand, five hundred twelve".