420204420 has 72 divisors (see below), whose sum is σ = 1281134400. Its totient is φ = 111481920.

The previous prime is 420204401. The next prime is 420204427. The reversal of 420204420 is 24402024.

420204420 is a `hidden beast` number, since 42 + 0 + 204 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420204393 and 420204402.

It is not an unprimeable number, because it can be changed into a prime (420204427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29955 + ... + 41685.

Almost surely, 2^420204420 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 420204420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640567200).

420204420 is an abundant number, since it is smaller than the sum of its proper divisors (860929980).

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

420204420 is a wasteful number, since it uses less digits than its factorization.

420204420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11940 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420204420 is about 20498.8882625376. Note that the first 3 decimals coincide. The cubic root of 420204420 is about 749.0087170547.

Adding to 420204420 its reverse (24402024), we get a palindrome (444606444).

The spelling of 420204420 in words is "four hundred twenty million, two hundred four thousand, four hundred twenty".