420224020 has 48 divisors (see below), whose sum is σ = 945701568. Its totient is φ = 156285440.

The previous prime is 420224009. The next prime is 420224069. The reversal of 420224020 is 20422024.

It is a junction number, because it is equal to n+sod(n) for n = 420223985 and 420224003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20775 + ... + 35665.

It is an arithmetic number, because the mean of its divisors is an integer number (19702116).

Almost surely, 2^420224020 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 420224020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472850784).

420224020 is an abundant number, since it is smaller than the sum of its proper divisors (525477548).

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

420224020 is a wasteful number, since it uses less digits than its factorization.

420224020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15000 (or 14998 counting only the distinct ones).

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

The square root of 420224020 is about 20499.3663316699. The cubic root of 420224020 is about 749.0203624523.

Adding to 420224020 its reverse (20422024), we get a palindrome (440646044).

The spelling of 420224020 in words is "four hundred twenty million, two hundred twenty-four thousand, twenty".