456417029 has 2 divisors, whose sum is σ = 456417030. Its totient is φ = 456417028.

The previous prime is 456416977. The next prime is 456417041. The reversal of 456417029 is 920714654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 331312804 + 125104225 = 18202^2 + 11185^2 .

It is a cyclic number.

It is not a de Polignac number, because 456417029 - 2⁸ = 456416773 is a prime.

It is a super-2 number, since 2×456417029² = 416633008722373682, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456416983 and 456417001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (456417629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228208514 + 228208515.

It is an arithmetic number, because the mean of its divisors is an integer number (228208515).

Almost surely, 2^456417029 is an apocalyptic number.

It is an amenable number.

456417029 is a deficient number, since it is larger than the sum of its proper divisors (1).

456417029 is an equidigital number, since it uses as much as digits as its factorization.

456417029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 456417029 is about 21363.9188586738. The cubic root of 456417029 is about 769.9347946133.

The spelling of 456417029 in words is "four hundred fifty-six million, four hundred seventeen thousand, twenty-nine".