461483568 has 450 divisors, whose sum is σ = 1721573964. Its totient is φ = 118879488.

The previous prime is 461483563. The next prime is 461483597. The reversal of 461483568 is 865384164.

461483568 is a `hidden beast` number, since 4 + 6 + 1 + 4 + 83 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (461483563) 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 89 ways as a sum of consecutive naturals, for example, 10732155 + ... + 10732197.

Almost surely, 2^461483568 is an apocalyptic number.

461483568 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 461483568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860786982).

461483568 is an abundant number, since it is smaller than the sum of its proper divisors (1260090396).

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

461483568 is a wasteful number, since it uses less digits than its factorization.

461483568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 461483568 is about 21482.1686056134. The cubic root of 461483568 is about 772.7732504919.

The spelling of 461483568 in words is "four hundred sixty-one million, four hundred eighty-three thousand, five hundred sixty-eight".