456417041 has 2 divisors, whose sum is σ = 456417042. Its totient is φ = 456417040.

The previous prime is 456417029. The next prime is 456417053. The reversal of 456417041 is 140714654.

It is a balanced prime because it is at equal distance from previous prime (456417029) and next prime (456417053).

It can be written as a sum of positive squares in only one way, i.e., 441168016 + 15249025 = 21004^2 + 3905^2 .

It is a cyclic number.

It is not a de Polignac number, because 456417041 - 2⁶ = 456416977 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 456416989 and 456417007.

It is not a weakly prime, because it can be changed into another prime (456417541) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228208520 + 228208521.

It is an arithmetic number, because the mean of its divisors is an integer number (228208521).

Almost surely, 2^456417041 is an apocalyptic number.

It is an amenable number.

456417041 is a deficient number, since it is larger than the sum of its proper divisors (1).

456417041 is an equidigital number, since it uses as much as digits as its factorization.

456417041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 456417041 is about 21363.9191395212. The cubic root of 456417041 is about 769.9348013610.

The spelling of 456417041 in words is "four hundred fifty-six million, four hundred seventeen thousand, forty-one".