461546125 has 16 divisors (see below), whose sum is σ = 579898800. Its totient is φ = 366744000.

The previous prime is 461546117. The next prime is 461546131. The reversal of 461546125 is 521645164.

It can be written as a sum of positive squares in 8 ways, for example, as 279458089 + 182088036 = 16717^2 + 13494^2 .

It is not a de Polignac number, because 461546125 - 2³ = 461546117 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 6235 + ... + 31015.

It is an arithmetic number, because the mean of its divisors is an integer number (36243675).

Almost surely, 2^461546125 is an apocalyptic number.

It is an amenable number.

461546125 is a deficient number, since it is larger than the sum of its proper divisors (118352675).

461546125 is a wasteful number, since it uses less digits than its factorization.

461546125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24945 (or 24935 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 461546125 is about 21483.6245778034. The cubic root of 461546125 is about 772.8081670056.

The spelling of 461546125 in words is "four hundred sixty-one million, five hundred forty-six thousand, one hundred twenty-five".