414340401 has 16 divisors (see below), whose sum is σ = 556573248. Its totient is φ = 274176000.

The previous prime is 414340397. The next prime is 414340411. The reversal of 414340401 is 104043414.

It is not a de Polignac number, because 414340401 - 2² = 414340397 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414340411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258001 + ... + 259601.

It is an arithmetic number, because the mean of its divisors is an integer number (34785828).

Almost surely, 2^414340401 is an apocalyptic number.

It is an amenable number.

414340401 is a deficient number, since it is larger than the sum of its proper divisors (142232847).

414340401 is a wasteful number, since it uses less digits than its factorization.

414340401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 414340401 is about 20355.3531288455. The cubic root of 414340401 is about 745.5082045140.

Adding to 414340401 its reverse (104043414), we get a palindrome (518383815).

It can be divided in two parts, 4143 and 40401, that added together give a palindrome (44544).

The spelling of 414340401 in words is "four hundred fourteen million, three hundred forty thousand, four hundred one".