461328768 has 192 divisors, whose sum is σ = 1388587200. Its totient is φ = 146893824.

The previous prime is 461328743. The next prime is 461328773. The reversal of 461328768 is 867823164.

461328768 is a `hidden beast` number, since 4 + 613 + 28 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3318843 + ... + 3318981.

It is an arithmetic number, because the mean of its divisors is an integer number (7232225).

Almost surely, 2^461328768 is an apocalyptic number.

461328768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461328768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694293600).

461328768 is an abundant number, since it is smaller than the sum of its proper divisors (927258432).

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

461328768 is a wasteful number, since it uses less digits than its factorization.

461328768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 254 counting only the distinct ones).

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

The square root of 461328768 is about 21478.5653152160. The cubic root of 461328768 is about 772.6868345025.

The spelling of 461328768 in words is "four hundred sixty-one million, three hundred twenty-eight thousand, seven hundred sixty-eight".