414415457 has 2 divisors, whose sum is σ = 414415458. Its totient is φ = 414415456.

The previous prime is 414415367. The next prime is 414415523. The reversal of 414415457 is 754514414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 374964496 + 39450961 = 19364^2 + 6281^2 .

It is a cyclic number.

It is not a de Polignac number, because 414415457 - 2⁸ = 414415201 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (414435457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207207728 + 207207729.

It is an arithmetic number, because the mean of its divisors is an integer number (207207729).

Almost surely, 2^414415457 is an apocalyptic number.

It is an amenable number.

414415457 is a deficient number, since it is larger than the sum of its proper divisors (1).

414415457 is an equidigital number, since it uses as much as digits as its factorization.

414415457 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 44800, while the sum is 35.

The square root of 414415457 is about 20357.1966881494. The cubic root of 414415457 is about 745.5532170089.

The spelling of 414415457 in words is "four hundred fourteen million, four hundred fifteen thousand, four hundred fifty-seven".