420412221 has 32 divisors (see below), whose sum is σ = 657072000. Its totient is φ = 264933504.

The previous prime is 420412211. The next prime is 420412231. The reversal of 420412221 is 122214024.

It is an interprime number because it is at equal distance from previous prime (420412211) and next prime (420412231).

It is not a de Polignac number, because 420412221 - 2⁹ = 420411709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420412194 and 420412203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420412211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414511 + ... + 415523.

It is an arithmetic number, because the mean of its divisors is an integer number (20533500).

Almost surely, 2^420412221 is an apocalyptic number.

It is an amenable number.

420412221 is a deficient number, since it is larger than the sum of its proper divisors (236659779).

420412221 is a wasteful number, since it uses less digits than its factorization.

420412221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1844 counting only the distinct ones).

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

The square root of 420412221 is about 20503.9562280063. The cubic root of 420412221 is about 749.1321642020.

Adding to 420412221 its reverse (122214024), we get a palindrome (542626245).

The spelling of 420412221 in words is "four hundred twenty million, four hundred twelve thousand, two hundred twenty-one".