414120401 has 8 divisors (see below), whose sum is σ = 424510944. Its totient is φ = 403764480.

The previous prime is 414120379. The next prime is 414120407. The reversal of 414120401 is 104021414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 414120401 - 2¹⁸ = 413858257 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 414120401.

It is not an unprimeable number, because it can be changed into a prime (414120407) 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 7 ways as a sum of consecutive naturals, for example, 16466 + ... + 33156.

It is an arithmetic number, because the mean of its divisors is an integer number (53063868).

Almost surely, 2^414120401 is an apocalyptic number.

It is an amenable number.

414120401 is a deficient number, since it is larger than the sum of its proper divisors (10390543).

414120401 is a wasteful number, since it uses less digits than its factorization.

414120401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17311.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 414120401 is about 20349.9484274531. The cubic root of 414120401 is about 745.3762350502.

Adding to 414120401 its reverse (104021414), we get a palindrome (518141815).

It can be divided in two parts, 4141 and 20401, that added together give a palindrome (24542).

The spelling of 414120401 in words is "four hundred fourteen million, one hundred twenty thousand, four hundred one".