414440401 has 4 divisors (see below), whose sum is σ = 414534052. Its totient is φ = 414346752.

The previous prime is 414440387. The next prime is 414440413. The reversal of 414440401 is 104044414.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 241491600 + 172948801 = 15540^2 + 13151^2 .

It is a cyclic number.

It is not a de Polignac number, because 414440401 - 2¹⁵ = 414407633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414440431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39840 + ... + 49153.

It is an arithmetic number, because the mean of its divisors is an integer number (103633513).

Almost surely, 2^414440401 is an apocalyptic number.

It is an amenable number.

414440401 is a deficient number, since it is larger than the sum of its proper divisors (93651).

414440401 is an equidigital number, since it uses as much as digits as its factorization.

414440401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93650.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 414440401 is about 20357.8093369596. The cubic root of 414440401 is about 745.5681751915.

Adding to 414440401 its reverse (104044414), we get a palindrome (518484815).

The spelling of 414440401 in words is "four hundred fourteen million, four hundred forty thousand, four hundred one".