461543120 has 40 divisors (see below), whose sum is σ = 1110096360. Its totient is φ = 178250240.

The previous prime is 461543083. The next prime is 461543153. The reversal of 461543120 is 21345164.

It can be written as a sum of positive squares in 4 ways, for example, as 198584464 + 262958656 = 14092^2 + 16216^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 461543120.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 97151 + ... + 101790.

It is an arithmetic number, because the mean of its divisors is an integer number (27752409).

Almost surely, 2^461543120 is an apocalyptic number.

461543120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461543120 is an abundant number, since it is smaller than the sum of its proper divisors (648553240).

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

461543120 is a wasteful number, since it uses less digits than its factorization.

461543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198983 (or 198977 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 461543120 is about 21483.5546407013. The cubic root of 461543120 is about 772.8064898214.

Adding to 461543120 its reverse (21345164), we get a palindrome (482888284).

The spelling of 461543120 in words is "four hundred sixty-one million, five hundred forty-three thousand, one hundred twenty".