456679 has 2 divisors, whose sum is σ = 456680. Its totient is φ = 456678.

The previous prime is 456653. The next prime is 456683. The reversal of 456679 is 976654.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 456679 - 2⁵ = 456647 is a prime.

It is a d-powerful number, because it can be written as 4 + 5 + 6² + 6⁷ + 7⁶ + 9⁵ .

456679 is a lucky number.

It is a plaindrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228339 + 228340.

It is an arithmetic number, because the mean of its divisors is an integer number (228340).

2⁴⁵⁶⁶⁷⁹ is an apocalyptic number.

456679 is a deficient number, since it is larger than the sum of its proper divisors (1).

456679 is an equidigital number, since it uses as much as digits as its factorization.

456679 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 45360, while the sum is 37.

The square root of 456679 is about 675.7802897392. The cubic root of 456679 is about 77.0082073671.

It can be divided in two parts, 45 and 6679, that added together give a square (6724 = 82²).

The spelling of 456679 in words is "four hundred fifty-six thousand, six hundred seventy-nine".