414013393 has 8 divisors (see below), whose sum is σ = 440904168. Its totient is φ = 387404544.

The previous prime is 414013381. The next prime is 414013403. The reversal of 414013393 is 393310414.

It can be written as a sum of positive squares in 4 ways, for example, as 279290944 + 134722449 = 16712^2 + 11607^2 .

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 414013393 - 2⁵ = 414013361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414013333) 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, 67446 + ... + 73327.

It is an arithmetic number, because the mean of its divisors is an integer number (55113021).

Almost surely, 2^414013393 is an apocalyptic number.

It is an amenable number.

414013393 is a deficient number, since it is larger than the sum of its proper divisors (26890775).

414013393 is a wasteful number, since it uses less digits than its factorization.

414013393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140963.

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 414013393 is about 20347.3190617339. The cubic root of 414013393 is about 745.3120282068.

The spelling of 414013393 in words is "four hundred fourteen million, thirteen thousand, three hundred ninety-three".