456349 has 2 divisors, whose sum is σ = 456350. Its totient is φ = 456348.

The previous prime is 456329. The next prime is 456353. The reversal of 456349 is 943654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 260100 + 196249 = 510^2 + 443^2 .

It is a cyclic number.

It is not a de Polignac number, because 456349 - 2¹³ = 448157 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 456349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456329) 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, 228174 + 228175.

It is an arithmetic number, because the mean of its divisors is an integer number (228175).

2⁴⁵⁶³⁴⁹ is an apocalyptic number.

It is an amenable number.

456349 is a deficient number, since it is larger than the sum of its proper divisors (1).

456349 is an equidigital number, since it uses as much as digits as its factorization.

456349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12960, while the sum is 31.

The square root of 456349 is about 675.5360834182. The cubic root of 456349 is about 76.9896539762.

The spelling of 456349 in words is "four hundred fifty-six thousand, three hundred forty-nine".