457820929 has 2 divisors, whose sum is σ = 457820930. Its totient is φ = 457820928.

The previous prime is 457820917. The next prime is 457820933. The reversal of 457820929 is 929028754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 304432704 + 153388225 = 17448^2 + 12385^2 .

It is a cyclic number.

It is not a de Polignac number, because 457820929 - 2⁹ = 457820417 is a prime.

It is not a weakly prime, because it can be changed into another prime (457823929) 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, 228910464 + 228910465.

It is an arithmetic number, because the mean of its divisors is an integer number (228910465).

Almost surely, 2^457820929 is an apocalyptic number.

It is an amenable number.

457820929 is a deficient number, since it is larger than the sum of its proper divisors (1).

457820929 is an equidigital number, since it uses as much as digits as its factorization.

457820929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 457820929 is about 21396.7504308481. The cubic root of 457820929 is about 770.7234046020.

The spelling of 457820929 in words is "four hundred fifty-seven million, eight hundred twenty thousand, nine hundred twenty-nine".