461972261 has 8 divisors (see below), whose sum is σ = 478656000. Its totient is φ = 445399920.

The previous prime is 461972237. The next prime is 461972281. The reversal of 461972261 is 162279164.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 461972261 - 2⁶ = 461972197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461972281) 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 in 7 ways as a sum of consecutive naturals, for example, 19361 + ... + 36038.

It is an arithmetic number, because the mean of its divisors is an integer number (59832000).

Almost surely, 2^461972261 is an apocalyptic number.

It is an amenable number.

461972261 is a deficient number, since it is larger than the sum of its proper divisors (16683739).

461972261 is a wasteful number, since it uses less digits than its factorization.

461972261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55699.

The product of its digits is 36288, while the sum is 38.

The square root of 461972261 is about 21493.5399829809. The cubic root of 461972261 is about 773.0459331163.

The spelling of 461972261 in words is "four hundred sixty-one million, nine hundred seventy-two thousand, two hundred sixty-one".