461800768 has 56 divisors (see below), whose sum is σ = 1076614560. Its totient is φ = 193758720.

The previous prime is 461800763. The next prime is 461800777. The reversal of 461800768 is 867008164.

It is a self number, because there is not a number n which added to its sum of digits gives 461800768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461800763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16078 + ... + 34381.

It is an arithmetic number, because the mean of its divisors is an integer number (19225260).

Almost surely, 2^461800768 is an apocalyptic number.

It is an amenable number.

461800768 is an abundant number, since it is smaller than the sum of its proper divisors (614813792).

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

461800768 is a wasteful number, since it uses less digits than its factorization.

461800768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50495 (or 50485 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 461800768 is about 21489.5502046925. The cubic root of 461800768 is about 772.9502647648.

The spelling of 461800768 in words is "four hundred sixty-one million, eight hundred thousand, seven hundred sixty-eight".