461386728 has 96 divisors (see below), whose sum is σ = 1434981600. Its totient is φ = 132451200.

The previous prime is 461386721. The next prime is 461386741. The reversal of 461386728 is 827683164.

461386728 is a `hidden beast` number, since 4 + 613 + 8 + 6 + 7 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (461386721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283 + ... + 30378.

It is an arithmetic number, because the mean of its divisors is an integer number (14947725).

Almost surely, 2^461386728 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 461386728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717490800).

461386728 is an abundant number, since it is smaller than the sum of its proper divisors (973594872).

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

461386728 is a wasteful number, since it uses less digits than its factorization.

461386728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30703 (or 30696 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 461386728 is about 21479.9145249696. The cubic root of 461386728 is about 772.7191925203.

The spelling of 461386728 in words is "four hundred sixty-one million, three hundred eighty-six thousand, seven hundred twenty-eight".