457930829 has 2 divisors, whose sum is σ = 457930830. Its totient is φ = 457930828.

The previous prime is 457930817. The next prime is 457930831. The reversal of 457930829 is 928039754.

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., 315772900 + 142157929 = 17770^2 + 11923^2 .

It is a cyclic number.

It is not a de Polignac number, because 457930829 - 2²⁸ = 189495373 is a prime.

Together with 457930831, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (457930859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228965414 + 228965415.

It is an arithmetic number, because the mean of its divisors is an integer number (228965415).

Almost surely, 2^457930829 is an apocalyptic number.

It is an amenable number.

457930829 is a deficient number, since it is larger than the sum of its proper divisors (1).

457930829 is an equidigital number, since it uses as much as digits as its factorization.

457930829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 47.

The square root of 457930829 is about 21399.3184237256. The cubic root of 457930829 is about 770.7850704340.

The spelling of 457930829 in words is "four hundred fifty-seven million, nine hundred thirty thousand, eight hundred twenty-nine".