429971257 has 2 divisors, whose sum is σ = 429971258. Its totient is φ = 429971256.

The previous prime is 429971231. The next prime is 429971263. The reversal of 429971257 is 752179924.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 250304041 + 179667216 = 15821^2 + 13404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-429971257 is a prime.

It is not a weakly prime, because it can be changed into another prime (429971207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214985628 + 214985629.

It is an arithmetic number, because the mean of its divisors is an integer number (214985629).

Almost surely, 2^429971257 is an apocalyptic number.

It is an amenable number.

429971257 is a deficient number, since it is larger than the sum of its proper divisors (1).

429971257 is an equidigital number, since it uses as much as digits as its factorization.

429971257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 317520, while the sum is 46.

The square root of 429971257 is about 20735.7482864738. The cubic root of 429971257 is about 754.7674134082.

The spelling of 429971257 in words is "four hundred twenty-nine million, nine hundred seventy-one thousand, two hundred fifty-seven".