417650993 has 2 divisors, whose sum is σ = 417650994. Its totient is φ = 417650992.

The previous prime is 417650881. The next prime is 417651001. The reversal of 417650993 is 399056714.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 344770624 + 72880369 = 18568^2 + 8537^2 .

It is a cyclic number.

It is not a de Polignac number, because 417650993 - 2¹⁸ = 417388849 is a prime.

It is not a weakly prime, because it can be changed into another prime (417650293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208825496 + 208825497.

It is an arithmetic number, because the mean of its divisors is an integer number (208825497).

Almost surely, 2^417650993 is an apocalyptic number.

It is an amenable number.

417650993 is a deficient number, since it is larger than the sum of its proper divisors (1).

417650993 is an equidigital number, since it uses as much as digits as its factorization.

417650993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 204120, while the sum is 44.

The square root of 417650993 is about 20436.5112727197. The cubic root of 417650993 is about 747.4884838440.

The spelling of 417650993 in words is "four hundred seventeen million, six hundred fifty thousand, nine hundred ninety-three".