487956456 has 96 divisors (see below), whose sum is σ = 1441440000. Its totient is φ = 148217472.

The previous prime is 487956451. The next prime is 487956503. The reversal of 487956456 is 654659784.

487956456 is a `hidden beast` number, since 4 + 8 + 79 + 564 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (487956451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70645 + ... + 77243.

It is an arithmetic number, because the mean of its divisors is an integer number (15015000).

Almost surely, 2^487956456 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 487956456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720000).

487956456 is an abundant number, since it is smaller than the sum of its proper divisors (953483544).

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

487956456 is a wasteful number, since it uses less digits than its factorization.

487956456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6703 (or 6696 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 487956456 is about 22089.7364402566. The cubic root of 487956456 is about 787.2760191434.

The spelling of 487956456 in words is "four hundred eighty-seven million, nine hundred fifty-six thousand, four hundred fifty-six".