461948129 has 2 divisors, whose sum is σ = 461948130. Its totient is φ = 461948128.

The previous prime is 461948117. The next prime is 461948167. The reversal of 461948129 is 921849164.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 316021729 + 145926400 = 17777^2 + 12080^2 .

It is a cyclic number.

It is not a de Polignac number, because 461948129 - 2¹⁶ = 461882593 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 461948129.

It is not a weakly prime, because it can be changed into another prime (461908129) 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, 230974064 + 230974065.

It is an arithmetic number, because the mean of its divisors is an integer number (230974065).

Almost surely, 2^461948129 is an apocalyptic number.

It is an amenable number.

461948129 is a deficient number, since it is larger than the sum of its proper divisors (1).

461948129 is an equidigital number, since it uses as much as digits as its factorization.

461948129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 44.

The square root of 461948129 is about 21492.9785976723. The cubic root of 461948129 is about 773.0324723735.

The spelling of 461948129 in words is "four hundred sixty-one million, nine hundred forty-eight thousand, one hundred twenty-nine".