414457 has 2 divisors, whose sum is σ = 414458. Its totient is φ = 414456.

The previous prime is 414451. The next prime is 414461. The reversal of 414457 is 754414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 281961 + 132496 = 531^2 + 364^2 .

It is a cyclic number.

It is not a de Polignac number, because 414457 - 2⁷ = 414329 is a prime.

It is not a weakly prime, because it can be changed into another prime (414451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207228 + 207229.

It is an arithmetic number, because the mean of its divisors is an integer number (207229).

2⁴¹⁴⁴⁵⁷ is an apocalyptic number.

It is an amenable number.

414457 is a deficient number, since it is larger than the sum of its proper divisors (1).

414457 is an equidigital number, since it uses as much as digits as its factorization.

414457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2240, while the sum is 25.

The square root of 414457 is about 643.7833486508. The cubic root of 414457 is about 74.5578128791.

The spelling of 414457 in words is "four hundred fourteen thousand, four hundred fifty-seven".