461561544 has 64 divisors (see below), whose sum is σ = 1288742400. Its totient is φ = 153058752.

The previous prime is 461561537. The next prime is 461561567. The reversal of 461561544 is 445165164.

461561544 is a `hidden beast` number, since 4 + 61 + 56 + 1 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 461561499 and 461561508.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37129 + ... + 47975.

It is an arithmetic number, because the mean of its divisors is an integer number (20136600).

Almost surely, 2^461561544 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 461561544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644371200).

461561544 is an abundant number, since it is smaller than the sum of its proper divisors (827180856).

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

461561544 is a wasteful number, since it uses less digits than its factorization.

461561544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11049 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 461561544 is about 21483.9834295226. The cubic root of 461561544 is about 772.8167727157.

The spelling of 461561544 in words is "four hundred sixty-one million, five hundred sixty-one thousand, five hundred forty-four".