414521417 has 2 divisors, whose sum is σ = 414521418. Its totient is φ = 414521416.

The previous prime is 414521377. The next prime is 414521431. The reversal of 414521417 is 714125414.

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., 278355856 + 136165561 = 16684^2 + 11669^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414521417 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414521417.

It is not a weakly prime, because it can be changed into another prime (414521467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207260708 + 207260709.

It is an arithmetic number, because the mean of its divisors is an integer number (207260709).

Almost surely, 2^414521417 is an apocalyptic number.

It is an amenable number.

414521417 is a deficient number, since it is larger than the sum of its proper divisors (1).

414521417 is an equidigital number, since it uses as much as digits as its factorization.

414521417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4480, while the sum is 29.

The square root of 414521417 is about 20359.7990412479. The cubic root of 414521417 is about 745.6167539624.

The spelling of 414521417 in words is "four hundred fourteen million, five hundred twenty-one thousand, four hundred seventeen".