414461 has 2 divisors, whose sum is σ = 414462. Its totient is φ = 414460.

The previous prime is 414457. The next prime is 414467. The reversal of 414461 is 164414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 403225 + 11236 = 635^2 + 106^2 .

It is a cyclic number.

It is not a de Polignac number, because 414461 - 2² = 414457 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207230 + 207231.

It is an arithmetic number, because the mean of its divisors is an integer number (207231).

2⁴¹⁴⁴⁶¹ is an apocalyptic number.

It is an amenable number.

414461 is a deficient number, since it is larger than the sum of its proper divisors (1).

414461 is an equidigital number, since it uses as much as digits as its factorization.

414461 is an evil number, because the sum of its binary digits is even.

The product of its digits is 384, while the sum is 20.

The square root of 414461 is about 643.7864552785. The cubic root of 414461 is about 74.5580527353.

Adding to 414461 its reverse (164414), we get a palindrome (578875).

Subtracting from 414461 its reverse (164414), we obtain a cube (250047 = 63³).

The spelling of 414461 in words is "four hundred fourteen thousand, four hundred sixty-one".