457966129 has 2 divisors, whose sum is σ = 457966130. Its totient is φ = 457966128.

The previous prime is 457966127. The next prime is 457966153. The reversal of 457966129 is 921669754.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 332077729 + 125888400 = 18223^2 + 11220^2 .

It is a cyclic number.

It is not a de Polignac number, because 457966129 - 2¹ = 457966127 is a prime.

It is a super-2 number, since 2×457966129² = 419465950622489282, which contains 22 as substring.

Together with 457966127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (457966121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228983064 + 228983065.

It is an arithmetic number, because the mean of its divisors is an integer number (228983065).

Almost surely, 2^457966129 is an apocalyptic number.

It is an amenable number.

457966129 is a deficient number, since it is larger than the sum of its proper divisors (1).

457966129 is an equidigital number, since it uses as much as digits as its factorization.

457966129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 816480, while the sum is 49.

The square root of 457966129 is about 21400.1432004555. The cubic root of 457966129 is about 770.8048754731.

The spelling of 457966129 in words is "four hundred fifty-seven million, nine hundred sixty-six thousand, one hundred twenty-nine".