456520417 has 2 divisors, whose sum is σ = 456520418. Its totient is φ = 456520416.

The previous prime is 456520333. The next prime is 456520433. The reversal of 456520417 is 714025654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 368985681 + 87534736 = 19209^2 + 9356^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456520417 is a prime.

It is a super-2 number, since 2×456520417² = 416821782275707778, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456520717) 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, 228260208 + 228260209.

It is an arithmetic number, because the mean of its divisors is an integer number (228260209).

Almost surely, 2^456520417 is an apocalyptic number.

It is an amenable number.

456520417 is a deficient number, since it is larger than the sum of its proper divisors (1).

456520417 is an equidigital number, since it uses as much as digits as its factorization.

456520417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 456520417 is about 21366.3384088149. The cubic root of 456520417 is about 769.9929256673.

The spelling of 456520417 in words is "four hundred fifty-six million, five hundred twenty thousand, four hundred seventeen".