414401 has 8 divisors (see below), whose sum is σ = 451584. Its totient is φ = 378000.

The previous prime is 414397. The next prime is 414413. The reversal of 414401 is 104414.

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 414401 - 2² = 414397 is a prime.

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (414431) 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, 1526 + ... + 1776.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

2⁴¹⁴⁴⁰¹ is an apocalyptic number.

It is an amenable number.

414401 is a deficient number, since it is larger than the sum of its proper divisors (37183).

414401 is a wasteful number, since it uses less digits than its factorization.

414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414401 is about 643.7398542890. The cubic root of 414401 is about 74.5544547297.

Adding to 414401 its reverse (104414), we get a palindrome (518815).

The spelling of 414401 in words is "four hundred fourteen thousand, four hundred one", and thus it is an iban number.