414067241 has 8 divisors (see below), whose sum is σ = 484761984. Its totient is φ = 346258080.

The previous prime is 414067237. The next prime is 414067273. The reversal of 414067241 is 142760414.

It is a happy number.

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

It is not a de Polignac number, because 414067241 - 2² = 414067237 is a prime.

It is not an unprimeable number, because it can be changed into a prime (414067141) 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, 721085 + ... + 721658.

It is an arithmetic number, because the mean of its divisors is an integer number (60595248).

Almost surely, 2^414067241 is an apocalyptic number.

414067241 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

414067241 is a deficient number, since it is larger than the sum of its proper divisors (70694743).

414067241 is a wasteful number, since it uses less digits than its factorization.

414067241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442791.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 414067241 is about 20348.6422397171. The cubic root of 414067241 is about 745.3443394178.

The spelling of 414067241 in words is "four hundred fourteen million, sixty-seven thousand, two hundred forty-one".