487817856 has 384 divisors, whose sum is σ = 1678838400. Its totient is φ = 138682368.

The previous prime is 487817849. The next prime is 487817857. The reversal of 487817856 is 658718784.

It is a happy number.

487817856 is a `hidden beast` number, since 487 + 81 + 7 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3010560) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (487817857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21209461 + ... + 21209483.

It is an arithmetic number, because the mean of its divisors is an integer number (4371975).

Almost surely, 2^487817856 is an apocalyptic number.

487817856 is a gapful number since it is divisible by the number (46) 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 487817856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839419200).

487817856 is an abundant number, since it is smaller than the sum of its proper divisors (1191020544).

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

487817856 is a wasteful number, since it uses less digits than its factorization.

487817856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 64 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 487817856 is about 22086.5990138817. The cubic root of 487817856 is about 787.2014723351.

The spelling of 487817856 in words is "four hundred eighty-seven million, eight hundred seventeen thousand, eight hundred fifty-six".