414094393 has 16 divisors (see below), whose sum is σ = 440640000. Its totient is φ = 388491712.

The previous prime is 414094367. The next prime is 414094399. The reversal of 414094393 is 393490414.

It is a cyclic number.

It is not a de Polignac number, because 414094393 - 2⁹ = 414093881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414094399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202068 + ... + 204106.

It is an arithmetic number, because the mean of its divisors is an integer number (27540000).

Almost surely, 2^414094393 is an apocalyptic number.

It is an amenable number.

414094393 is a deficient number, since it is larger than the sum of its proper divisors (26545607).

414094393 is a wasteful number, since it uses less digits than its factorization.

414094393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264.

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 414094393 is about 20349.3093986012. The cubic root of 414094393 is about 745.3606307711.

The spelling of 414094393 in words is "four hundred fourteen million, ninety-four thousand, three hundred ninety-three".