414414001 has 4 divisors (see below), whose sum is σ = 414554112. Its totient is φ = 414273892.

The previous prime is 414413953. The next prime is 414414029. The reversal of 414414001 is 100414414.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 414414001 - 2⁷ = 414413873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414414001.

It is not an unprimeable number, because it can be changed into a prime (411414001) 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, 65521 + ... + 71566.

It is an arithmetic number, because the mean of its divisors is an integer number (103638528).

Almost surely, 2^414414001 is an apocalyptic number.

It is an amenable number.

414414001 is a deficient number, since it is larger than the sum of its proper divisors (140111).

414414001 is a wasteful number, since it uses less digits than its factorization.

414414001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140110.

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 414414001 is about 20357.1609268090. The cubic root of 414414001 is about 745.5523438700.

Adding to 414414001 its reverse (100414414), we get a palindrome (514828415).

It can be divided in two parts, 4144 and 14001, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 414414001 in words is "four hundred fourteen million, four hundred fourteen thousand, one".