420440020 has 96 divisors (see below), whose sum is σ = 1185520896. Its totient is φ = 120960000.

The previous prime is 420440003. The next prime is 420440047. The reversal of 420440020 is 20044024.

It is a junction number, because it is equal to n+sod(n) for n = 420439976 and 420440003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9520 + ... + 30520.

It is an arithmetic number, because the mean of its divisors is an integer number (12349176).

Almost surely, 2^420440020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592760448).

420440020 is an abundant number, since it is smaller than the sum of its proper divisors (765080876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420440020 is a wasteful number, since it uses less digits than its factorization.

420440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21041 (or 21039 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 420440020 is about 20504.6341103664. The cubic root of 420440020 is about 749.1486755093.

Adding to 420440020 its reverse (20044024), we get a palindrome (440484044).

The spelling of 420440020 in words is "four hundred twenty million, four hundred forty thousand, twenty".