461003841 has 27 divisors (see below), whose sum is σ = 709053033. Its totient is φ = 288570240.

The previous prime is 461003819. The next prime is 461003863. The reversal of 461003841 is 148300164.

The square root of 461003841 is 21471.

It is a perfect power (a square), and thus also a powerful number.

461003841 is a `hidden beast` number, since 4 + 610 + 0 + 3 + 8 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (461003819) and next prime (461003863).

It can be written as a sum of positive squares in 4 ways, for example, as 77000625 + 384003216 = 8775^2 + 19596^2 .

It is not a de Polignac number, because 461003841 - 2¹⁵ = 460971073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461003801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1094811 + ... + 1095231.

Almost surely, 2^461003841 is an apocalyptic number.

461003841 is the 21471-st square number.

461003841 is the 10736-th centered octagonal number.

It is an amenable number.

461003841 is a deficient number, since it is larger than the sum of its proper divisors (248049192).

461003841 is an equidigital number, since it uses as much as digits as its factorization.

461003841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 461003841 is about 772.5053834419.

Multiplying 461003841 by its product of nonzero digits (2304), we get a square (1062152849664 = 1030608²).

The spelling of 461003841 in words is "four hundred sixty-one million, three thousand, eight hundred forty-one".