414095457 has 16 divisors (see below), whose sum is σ = 558850752. Its totient is φ = 272716800.

The previous prime is 414095441. The next prime is 414095477. The reversal of 414095457 is 754590414.

It is not a de Polignac number, because 414095457 - 2⁴ = 414095441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414095417) 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 in 15 ways as a sum of consecutive naturals, for example, 127113 + ... + 130329.

It is an arithmetic number, because the mean of its divisors is an integer number (34928172).

Almost surely, 2^414095457 is an apocalyptic number.

It is an amenable number.

414095457 is a deficient number, since it is larger than the sum of its proper divisors (144755295).

414095457 is a wasteful number, since it uses less digits than its factorization.

414095457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3728.

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 414095457 is about 20349.3355419778. The cubic root of 414095457 is about 745.3612691626.

The spelling of 414095457 in words is "four hundred fourteen million, ninety-five thousand, four hundred fifty-seven".