461266641 has 36 divisors (see below), whose sum is σ = 734728176. Its totient is φ = 278649360.

The previous prime is 461266573. The next prime is 461266643. The reversal of 461266641 is 146662164.

It is not a de Polignac number, because 461266641 - 2¹⁰ = 461265617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 461266596 and 461266605.

It is not an unprimeable number, because it can be changed into a prime (461266643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 508110 + ... + 509016.

It is an arithmetic number, because the mean of its divisors is an integer number (20409116).

Almost surely, 2^461266641 is an apocalyptic number.

It is an amenable number.

461266641 is a deficient number, since it is larger than the sum of its proper divisors (273461535).

461266641 is a wasteful number, since it uses less digits than its factorization.

461266641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1388 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 461266641 is about 21477.1190107053. The cubic root of 461266641 is about 772.6521471144.

It can be divided in two parts, 4612 and 66641, that added together give a triangular number (71253 = T₃₇₇).

The spelling of 461266641 in words is "four hundred sixty-one million, two hundred sixty-six thousand, six hundred forty-one".