414350561 has 2 divisors, whose sum is σ = 414350562. Its totient is φ = 414350560.

The previous prime is 414350509. The next prime is 414350593. The reversal of 414350561 is 165053414.

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., 393784336 + 20566225 = 19844^2 + 4535^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414350561 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414350501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207175280 + 207175281.

It is an arithmetic number, because the mean of its divisors is an integer number (207175281).

Almost surely, 2^414350561 is an apocalyptic number.

It is an amenable number.

414350561 is a deficient number, since it is larger than the sum of its proper divisors (1).

414350561 is an equidigital number, since it uses as much as digits as its factorization.

414350561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 414350561 is about 20355.6026931162. The cubic root of 414350561 is about 745.5142979752.

The spelling of 414350561 in words is "four hundred fourteen million, three hundred fifty thousand, five hundred sixty-one".