461860672 has 84 divisors (see below), whose sum is σ = 1148250180. Its totient is φ = 182697984.

The previous prime is 461860639. The next prime is 461860697. The reversal of 461860672 is 276068164.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 349839616 = 10584^2 + 18704^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35104 + ... + 46432.

It is an arithmetic number, because the mean of its divisors is an integer number (13669645).

Almost surely, 2^461860672 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 461860672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574125090).

461860672 is an abundant number, since it is smaller than the sum of its proper divisors (686389508).

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

461860672 is a wasteful number, since it uses less digits than its factorization.

461860672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11351 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 461860672 is about 21490.9439532097. The cubic root of 461860672 is about 772.9836852453.

The spelling of 461860672 in words is "four hundred sixty-one million, eight hundred sixty thousand, six hundred seventy-two".