456329 has 2 divisors, whose sum is σ = 456330. Its totient is φ = 456328.

The previous prime is 456293. The next prime is 456349. The reversal of 456329 is 923654.

Together with previous prime (456293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 156025 = 548^2 + 395^2 .

It is a cyclic number.

It is not a de Polignac number, because 456329 - 2¹² = 452233 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (456349) 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, 228164 + 228165.

It is an arithmetic number, because the mean of its divisors is an integer number (228165).

2⁴⁵⁶³²⁹ is an apocalyptic number.

It is an amenable number.

456329 is a deficient number, since it is larger than the sum of its proper divisors (1).

456329 is an equidigital number, since it uses as much as digits as its factorization.

456329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6480, while the sum is 29.

The square root of 456329 is about 675.5212801977. The cubic root of 456329 is about 76.9885292408.

The spelling of 456329 in words is "four hundred fifty-six thousand, three hundred twenty-nine".