461584656 has 100 divisors (see below), whose sum is σ = 1438778572. Its totient is φ = 142020864.

The previous prime is 461584577. The next prime is 461584691. The reversal of 461584656 is 656485164.

461584656 is a `hidden beast` number, since 4 + 6 + 1 + 584 + 65 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192099600 + 269485056 = 13860^2 + 16416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3150 + ... + 30546.

Almost surely, 2^461584656 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 461584656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719389286).

461584656 is an abundant number, since it is smaller than the sum of its proper divisors (977193916).

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

461584656 is a wasteful number, since it uses less digits than its factorization.

461584656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27430 (or 27415 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 461584656 is about 21484.5213118654. The cubic root of 461584656 is about 772.8296717129.

The spelling of 461584656 in words is "four hundred sixty-one million, five hundred eighty-four thousand, six hundred fifty-six".