414193601 has 2 divisors, whose sum is σ = 414193602. Its totient is φ = 414193600.

The previous prime is 414193583. The next prime is 414193613. The reversal of 414193601 is 106391414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 413919025 + 274576 = 20345^2 + 524^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414193601 is a prime.

It is not a weakly prime, because it can be changed into another prime (414193691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207096800 + 207096801.

It is an arithmetic number, because the mean of its divisors is an integer number (207096801).

Almost surely, 2^414193601 is an apocalyptic number.

It is an amenable number.

414193601 is a deficient number, since it is larger than the sum of its proper divisors (1).

414193601 is an equidigital number, since it uses as much as digits as its factorization.

414193601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 414193601 is about 20351.7468783395. The cubic root of 414193601 is about 745.4201500773.

The spelling of 414193601 in words is "four hundred fourteen million, one hundred ninety-three thousand, six hundred one".