461581056 has 108 divisors (see below), whose sum is σ = 1346403240. Its totient is φ = 152064000.

The previous prime is 461581039. The next prime is 461581063. The reversal of 461581056 is 650185164.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 461581056.

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 11 ways as a sum of consecutive naturals, for example, 203931 + ... + 206181.

Almost surely, 2^461581056 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 461581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673201620).

461581056 is an abundant number, since it is smaller than the sum of its proper divisors (884822184).

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

461581056 is a wasteful number, since it uses less digits than its factorization.

461581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 461581056 is about 21484.4375304545. The cubic root of 461581056 is about 772.8276625516.

The spelling of 461581056 in words is "four hundred sixty-one million, five hundred eighty-one thousand, fifty-six".