461260641 has 16 divisors (see below), whose sum is σ = 624888000. Its totient is φ = 302609088.

The previous prime is 461260633. The next prime is 461260649. The reversal of 461260641 is 146062164.

It is an interprime number because it is at equal distance from previous prime (461260633) and next prime (461260649).

It is not a de Polignac number, because 461260641 - 2³ = 461260633 is a prime.

It is a super-2 number, since 2×461260641² = 425522757871461762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 461260599 and 461260608.

It is not an unprimeable number, because it can be changed into a prime (461260649) 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 15 ways as a sum of consecutive naturals, for example, 43990 + ... + 53456.

It is an arithmetic number, because the mean of its divisors is an integer number (39055500).

Almost surely, 2^461260641 is an apocalyptic number.

It is an amenable number.

461260641 is a deficient number, since it is larger than the sum of its proper divisors (163627359).

461260641 is a wasteful number, since it uses less digits than its factorization.

461260641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 461260641 is about 21476.9793267117. The cubic root of 461260641 is about 772.6487969675.

The spelling of 461260641 in words is "four hundred sixty-one million, two hundred sixty thousand, six hundred forty-one".