456409 has 2 divisors, whose sum is σ = 456410. Its totient is φ = 456408.

The previous prime is 456403. The next prime is 456427. The reversal of 456409 is 904654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 455625 + 784 = 675^2 + 28^2 .

It is a cyclic number.

It is not a de Polignac number, because 456409 - 2⁵ = 456377 is a prime.

It is not a weakly prime, because it can be changed into another prime (456403) 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, 228204 + 228205.

It is an arithmetic number, because the mean of its divisors is an integer number (228205).

2⁴⁵⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

456409 is a deficient number, since it is larger than the sum of its proper divisors (1).

456409 is an equidigital number, since it uses as much as digits as its factorization.

456409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 456409 is about 675.5804911334. The cubic root of 456409 is about 76.9930279851.

The spelling of 456409 in words is "four hundred fifty-six thousand, four hundred nine".