414240201 has 6 divisors (see below), whose sum is σ = 598346970. Its totient is φ = 276160128.

The previous prime is 414240181. The next prime is 414240217. The reversal of 414240201 is 102042414.

414240201 is a `hidden beast` number, since 41 + 424 + 0 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 314140176 + 100100025 = 17724^2 + 10005^2 .

It is not a de Polignac number, because 414240201 - 2⁶ = 414240137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414248201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23013336 + ... + 23013353.

It is an arithmetic number, because the mean of its divisors is an integer number (99724495).

Almost surely, 2^414240201 is an apocalyptic number.

It is an amenable number.

414240201 is a deficient number, since it is larger than the sum of its proper divisors (184106769).

414240201 is a wasteful number, since it uses less digits than its factorization.

414240201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46026695 (or 46026692 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 414240201 is about 20352.8917110076. The cubic root of 414240201 is about 745.4481042162.

Adding to 414240201 its reverse (102042414), we get a palindrome (516282615).

The spelling of 414240201 in words is "four hundred fourteen million, two hundred forty thousand, two hundred one".