414144001 has 4 divisors (see below), whose sum is σ = 414185904. Its totient is φ = 414102100.

The previous prime is 414143999. The next prime is 414144047. The reversal of 414144001 is 100441414.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 414144001 - 2¹ = 414143999 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 414144001.

It is not an unprimeable number, because it can be changed into a prime (414144091) 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 3 ways as a sum of consecutive naturals, for example, 3006 + ... + 28936.

It is an arithmetic number, because the mean of its divisors is an integer number (103546476).

Almost surely, 2^414144001 is an apocalyptic number.

It is an amenable number.

414144001 is a deficient number, since it is larger than the sum of its proper divisors (41903).

414144001 is a wasteful number, since it uses less digits than its factorization.

414144001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41902.

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

The square root of 414144001 is about 20350.5282732415. The cubic root of 414144001 is about 745.3903940121.

Adding to 414144001 its reverse (100441414), we get a palindrome (514585415).

The spelling of 414144001 in words is "four hundred fourteen million, one hundred forty-four thousand, one".