414432257 has 2 divisors, whose sum is σ = 414432258. Its totient is φ = 414432256.

The previous prime is 414432233. The next prime is 414432269. The reversal of 414432257 is 752234414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402845041 + 11587216 = 20071^2 + 3404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414432257 is a prime.

It is a super-2 number, since 2×414432257² = 343508191284228098, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414432217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207216128 + 207216129.

It is an arithmetic number, because the mean of its divisors is an integer number (207216129).

Almost surely, 2^414432257 is an apocalyptic number.

It is an amenable number.

414432257 is a deficient number, since it is larger than the sum of its proper divisors (1).

414432257 is an equidigital number, since it uses as much as digits as its factorization.

414432257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26880, while the sum is 32.

The square root of 414432257 is about 20357.6093144554. The cubic root of 414432257 is about 745.5632915404.

The spelling of 414432257 in words is "four hundred fourteen million, four hundred thirty-two thousand, two hundred fifty-seven".