461882801 has 2 divisors, whose sum is σ = 461882802. Its totient is φ = 461882800.

The previous prime is 461882779. The next prime is 461882807. The reversal of 461882801 is 108288164.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 461218576 + 664225 = 21476^2 + 815^2 .

It is a cyclic number.

It is not a de Polignac number, because 461882801 - 2¹⁸ = 461620657 is a prime.

It is not a weakly prime, because it can be changed into another prime (461882807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 230941400 + 230941401.

It is an arithmetic number, because the mean of its divisors is an integer number (230941401).

Almost surely, 2^461882801 is an apocalyptic number.

It is an amenable number.

461882801 is a deficient number, since it is larger than the sum of its proper divisors (1).

461882801 is an equidigital number, since it uses as much as digits as its factorization.

461882801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 461882801 is about 21491.4587918084. The cubic root of 461882801 is about 772.9960302978.

The spelling of 461882801 in words is "four hundred sixty-one million, eight hundred eighty-two thousand, eight hundred one".