461120144 has 10 divisors (see below), whose sum is σ = 893420310. Its totient is φ = 230560064.

The previous prime is 461120141. The next prime is 461120171. The reversal of 461120144 is 441021164.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 309337744 + 151782400 = 17588^2 + 12320^2 .

It is not an unprimeable number, because it can be changed into a prime (461120141) 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 as a sum of consecutive naturals, namely, 14409989 + ... + 14410020.

It is an arithmetic number, because the mean of its divisors is an integer number (89342031).

Almost surely, 2^461120144 is an apocalyptic number.

It is an amenable number.

461120144 is a deficient number, since it is larger than the sum of its proper divisors (432300166).

461120144 is a wasteful number, since it uses less digits than its factorization.

461120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28820017 (or 28820011 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 461120144 is about 21473.7082032890. The cubic root of 461120144 is about 772.5703410636.

The spelling of 461120144 in words is "four hundred sixty-one million, one hundred twenty thousand, one hundred forty-four".