414224021 has 8 divisors (see below), whose sum is σ = 418146624. Its totient is φ = 410314720.

The previous prime is 414224003. The next prime is 414224039. The reversal of 414224021 is 120422414.

It is an interprime number because it is at equal distance from previous prime (414224003) and next prime (414224039).

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 414224021 - 2²⁶ = 347115157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414223984 and 414224002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414224051) 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, 65906 + ... + 71916.

It is an arithmetic number, because the mean of its divisors is an integer number (52268328).

Almost surely, 2^414224021 is an apocalyptic number.

It is an amenable number.

414224021 is a deficient number, since it is larger than the sum of its proper divisors (3922603).

414224021 is a wasteful number, since it uses less digits than its factorization.

414224021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6651.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 414224021 is about 20352.4942206109. The cubic root of 414224021 is about 745.4383984889.

Adding to 414224021 its reverse (120422414), we get a palindrome (534646435).

The spelling of 414224021 in words is "four hundred fourteen million, two hundred twenty-four thousand, twenty-one".