456656407 has 2 divisors, whose sum is σ = 456656408. Its totient is φ = 456656406.

The previous prime is 456656377. The next prime is 456656411. The reversal of 456656407 is 704656654.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456656407 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456656807) 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, 228328203 + 228328204.

It is an arithmetic number, because the mean of its divisors is an integer number (228328204).

Almost surely, 2^456656407 is an apocalyptic number.

456656407 is a deficient number, since it is larger than the sum of its proper divisors (1).

456656407 is an equidigital number, since it uses as much as digits as its factorization.

456656407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 43.

The square root of 456656407 is about 21369.5205140406. The cubic root of 456656407 is about 770.0693741958.

The spelling of 456656407 in words is "four hundred fifty-six million, six hundred fifty-six thousand, four hundred seven".