414002241 has 48 divisors (see below), whose sum is σ = 658464768. Its totient is φ = 249523200.

The previous prime is 414002221. The next prime is 414002291. The reversal of 414002241 is 142200414.

414002241 is a `hidden beast` number, since 41 + 400 + 224 + 1 = 666.

It is not a de Polignac number, because 414002241 - 2⁵ = 414002209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414002201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 905685 + ... + 906141.

It is an arithmetic number, because the mean of its divisors is an integer number (13718016).

Almost surely, 2^414002241 is an apocalyptic number.

It is an amenable number.

414002241 is a deficient number, since it is larger than the sum of its proper divisors (244462527).

414002241 is a wasteful number, since it uses less digits than its factorization.

414002241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 699 counting only the distinct ones).

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

The square root of 414002241 is about 20347.0450188719. The cubic root of 414002241 is about 745.3053361573.

Adding to 414002241 its reverse (142200414), we get a palindrome (556202655).

The spelling of 414002241 in words is "four hundred fourteen million, two thousand, two hundred forty-one".