461946852 has 18 divisors (see below), whose sum is σ = 1167699078. Its totient is φ = 153982272.

The previous prime is 461946833. The next prime is 461946853. The reversal of 461946852 is 258649164.

It can be written as a sum of positive squares in only one way, i.e., 407393856 + 54552996 = 20184^2 + 7386^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 461946798 and 461946807.

It is not an unprimeable number, because it can be changed into a prime (461946853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6415893 + ... + 6415964.

It is an arithmetic number, because the mean of its divisors is an integer number (64872171).

Almost surely, 2^461946852 is an apocalyptic number.

It is an amenable number.

461946852 is an abundant number, since it is smaller than the sum of its proper divisors (705752226).

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

461946852 is a wasteful number, since it uses less digits than its factorization.

461946852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831867 (or 12831862 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 461946852 is about 21492.9488902756. The cubic root of 461946852 is about 773.0317600545.

The spelling of 461946852 in words is "four hundred sixty-one million, nine hundred forty-six thousand, eight hundred fifty-two".