461664001 has 2 divisors, whose sum is σ = 461664002. Its totient is φ = 461664000.

The previous prime is 461663971. The next prime is 461664013. The reversal of 461664001 is 100466164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456933376 + 4730625 = 21376^2 + 2175^2 .

It is a cyclic number.

It is not a de Polignac number, because 461664001 - 2¹¹ = 461661953 is a prime.

It is not a weakly prime, because it can be changed into another prime (461664041) 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 as a sum of consecutive naturals, namely, 230832000 + 230832001.

It is an arithmetic number, because the mean of its divisors is an integer number (230832001).

Almost surely, 2^461664001 is an apocalyptic number.

It is an amenable number.

461664001 is a deficient number, since it is larger than the sum of its proper divisors (1).

461664001 is an equidigital number, since it uses as much as digits as its factorization.

461664001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 461664001 is about 21486.3677944877. The cubic root of 461664001 is about 772.8739515333.

The spelling of 461664001 in words is "four hundred sixty-one million, six hundred sixty-four thousand, one".