417870505457 has 2 divisors, whose sum is σ = 417870505458. Its totient is φ = 417870505456.

The previous prime is 417870505259. The next prime is 417870505483. The reversal of 417870505457 is 754505078714.

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., 372687051361 + 45183454096 = 610481^2 + 212564^2 .

It is a cyclic number.

It is not a de Polignac number, because 417870505457 - 2²⁰ = 417869456881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 417870505399 and 417870505408.

It is not a weakly prime, because it can be changed into another prime (417870508457) 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, 208935252728 + 208935252729.

It is an arithmetic number, because the mean of its divisors is an integer number (208935252729).

Almost surely, 2^417870505457 is an apocalyptic number.

It is an amenable number.

417870505457 is a deficient number, since it is larger than the sum of its proper divisors (1).

417870505457 is an equidigital number, since it uses as much as digits as its factorization.

417870505457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5488000, while the sum is 53.

The spelling of 417870505457 in words is "four hundred seventeen billion, eight hundred seventy million, five hundred five thousand, four hundred fifty-seven".