456506077 has 2 divisors, whose sum is σ = 456506078. Its totient is φ = 456506076.

The previous prime is 456506021. The next prime is 456506087. The reversal of 456506077 is 770605654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 456505956 + 121 = 21366^2 + 11^2 .

It is a cyclic number.

It is not a de Polignac number, because 456506077 - 2¹⁹ = 455981789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456506087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228253038 + 228253039.

It is an arithmetic number, because the mean of its divisors is an integer number (228253039).

Almost surely, 2^456506077 is an apocalyptic number.

It is an amenable number.

456506077 is a deficient number, since it is larger than the sum of its proper divisors (1).

456506077 is an equidigital number, since it uses as much as digits as its factorization.

456506077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 456506077 is about 21366.0028316014. The cubic root of 456506077 is about 769.9848633669.

The spelling of 456506077 in words is "four hundred fifty-six million, five hundred six thousand, seventy-seven".