420441021 has 144 divisors (see below), whose sum is σ = 851497920. Its totient is φ = 196439040.

The previous prime is 420440983. The next prime is 420441029. The reversal of 420441021 is 120144024.

It is not a de Polignac number, because 420441021 - 2⁷ = 420440893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 420440985 and 420441003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420441029) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3720661 + ... + 3720773.

It is an arithmetic number, because the mean of its divisors is an integer number (5913180).

Almost surely, 2^420441021 is an apocalyptic number.

It is an amenable number.

420441021 is an abundant number, since it is smaller than the sum of its proper divisors (431056899).

420441021 is a wasteful number, since it uses less digits than its factorization.

420441021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

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

The square root of 420441021 is about 20504.6585194682. The cubic root of 420441021 is about 749.1492700429.

Adding to 420441021 its reverse (120144024), we get a palindrome (540585045).

The spelling of 420441021 in words is "four hundred twenty million, four hundred forty-one thousand, twenty-one".