456553417 has 2 divisors, whose sum is σ = 456553418. Its totient is φ = 456553416.

The previous prime is 456553393. The next prime is 456553421. The reversal of 456553417 is 714355654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455438281 + 1115136 = 21341^2 + 1056^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456553417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 456553417.

It is not a weakly prime, because it can be changed into another prime (456553457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228276708 + 228276709.

It is an arithmetic number, because the mean of its divisors is an integer number (228276709).

Almost surely, 2^456553417 is an apocalyptic number.

It is an amenable number.

456553417 is a deficient number, since it is larger than the sum of its proper divisors (1).

456553417 is an equidigital number, since it uses as much as digits as its factorization.

456553417 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 252000, while the sum is 40.

The square root of 456553417 is about 21367.1106376131. The cubic root of 456553417 is about 770.0114784369.

The spelling of 456553417 in words is "four hundred fifty-six million, five hundred fifty-three thousand, four hundred seventeen".