414940393 has 8 divisors (see below), whose sum is σ = 484307712. Its totient is φ = 348095616.

The previous prime is 414940387. The next prime is 414940429. The reversal of 414940393 is 393049414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414940393 - 2²¹ = 412843241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414940303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 630280 + ... + 630937.

It is an arithmetic number, because the mean of its divisors is an integer number (60538464).

Almost surely, 2^414940393 is an apocalyptic number.

It is an amenable number.

414940393 is a deficient number, since it is larger than the sum of its proper divisors (69367319).

414940393 is a wasteful number, since it uses less digits than its factorization.

414940393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261271.

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

The square root of 414940393 is about 20370.0857386512. The cubic root of 414940393 is about 745.8678791721.

The spelling of 414940393 in words is "four hundred fourteen million, nine hundred forty thousand, three hundred ninety-three".