461346561 has 48 divisors (see below), whose sum is σ = 765063936. Its totient is φ = 265379328.

The previous prime is 461346553. The next prime is 461346577. The reversal of 461346561 is 165643164.

It is a happy number.

461346561 is a `hidden beast` number, since 4 + 61 + 34 + 6 + 561 = 666.

It is not a de Polignac number, because 461346561 - 2³ = 461346553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461346511) 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 47 ways as a sum of consecutive naturals, for example, 323496 + ... + 324918.

It is an arithmetic number, because the mean of its divisors is an integer number (15938832).

Almost surely, 2^461346561 is an apocalyptic number.

It is an amenable number.

461346561 is a deficient number, since it is larger than the sum of its proper divisors (303717375).

461346561 is a wasteful number, since it uses less digits than its factorization.

461346561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1619 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 461346561 is about 21478.9795148652. The cubic root of 461346561 is about 772.6967683003.

The spelling of 461346561 in words is "four hundred sixty-one million, three hundred forty-six thousand, five hundred sixty-one".