461580984 has 128 divisors (see below), whose sum is σ = 1378944000. Its totient is φ = 142601472.

The previous prime is 461580943. The next prime is 461581033. The reversal of 461580984 is 489085164.

461580984 is a `hidden beast` number, since 4 + 61 + 580 + 9 + 8 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191692 + ... + 194084.

It is an arithmetic number, because the mean of its divisors is an integer number (10773000).

Almost surely, 2^461580984 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 461580984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

461580984 is an abundant number, since it is smaller than the sum of its proper divisors (917363016).

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

461580984 is a wasteful number, since it uses less digits than its factorization.

461580984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2474 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 461580984 is about 21484.4358548229. The cubic root of 461580984 is about 772.8276223683.

The spelling of 461580984 in words is "four hundred sixty-one million, five hundred eighty thousand, nine hundred eighty-four".