414221247 has 24 divisors (see below), whose sum is σ = 653502720. Its totient is φ = 250739280.

The previous prime is 414221209. The next prime is 414221267. The reversal of 414221247 is 742122414.

414221247 is a `hidden beast` number, since 414 + 2 + 2 + 1 + 247 = 666.

It is not a de Polignac number, because 414221247 - 2⁶ = 414221183 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414221247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100848 + ... + 104874.

It is an arithmetic number, because the mean of its divisors is an integer number (27229280).

Almost surely, 2^414221247 is an apocalyptic number.

414221247 is a deficient number, since it is larger than the sum of its proper divisors (239281473).

414221247 is a wasteful number, since it uses less digits than its factorization.

414221247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5083 (or 5080 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 414221247 is about 20352.4260716014. The cubic root of 414221247 is about 745.4367344531.

The spelling of 414221247 in words is "four hundred fourteen million, two hundred twenty-one thousand, two hundred forty-seven".