414404101 has 8 divisors (see below), whose sum is σ = 416323800. Its totient is φ = 412489728.

The previous prime is 414404099. The next prime is 414404129. The reversal of 414404101 is 101404414.

It can be written as a sum of positive squares in 4 ways, for example, as 5313025 + 409091076 = 2305^2 + 20226^2 .

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 414404101 - 2¹ = 414404099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414401101) 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 7 ways as a sum of consecutive naturals, for example, 249265 + ... + 250921.

It is an arithmetic number, because the mean of its divisors is an integer number (52040475).

Almost surely, 2^414404101 is an apocalyptic number.

It is an amenable number.

414404101 is a deficient number, since it is larger than the sum of its proper divisors (1919699).

414404101 is a wasteful number, since it uses less digits than its factorization.

414404101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2663.

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

The square root of 414404101 is about 20356.9177676779. The cubic root of 414404101 is about 745.5464069511.

Adding to 414404101 its reverse (101404414), we get a palindrome (515808515).

It can be divided in two parts, 414404 and 101, that added together give a triangular number (414505 = T₉₁₀).

The spelling of 414404101 in words is "four hundred fourteen million, four hundred four thousand, one hundred one".