414114401 has 4 divisors (see below), whose sum is σ = 414880404. Its totient is φ = 413348400.

The previous prime is 414114341. The next prime is 414114413. The reversal of 414114401 is 104411414.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 104411414 = 2 ⋅52205707.

It can be written as a sum of positive squares in 2 ways, for example, as 149206225 + 264908176 = 12215^2 + 16276^2 .

It is a cyclic number.

It is not a de Polignac number, because 414114401 - 2¹⁰ = 414113377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414114301) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382190 + ... + 383271.

It is an arithmetic number, because the mean of its divisors is an integer number (103720101).

Almost surely, 2^414114401 is an apocalyptic number.

It is an amenable number.

414114401 is a deficient number, since it is larger than the sum of its proper divisors (766003).

414114401 is an equidigital number, since it uses as much as digits as its factorization.

414114401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766002.

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 414114401 is about 20349.8010063981. The cubic root of 414114401 is about 745.3726352283.

Adding to 414114401 its reverse (104411414), we get a palindrome (518525815).

The spelling of 414114401 in words is "four hundred fourteen million, one hundred fourteen thousand, four hundred one".