420404020 has 48 divisors (see below), whose sum is σ = 913844736. Its totient is φ = 162288000.

The previous prime is 420404011. The next prime is 420404053. The reversal of 420404020 is 20404024.

It is a junction number, because it is equal to n+sod(n) for n = 420403985 and 420404003.

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, 303730 + ... + 305110.

It is an arithmetic number, because the mean of its divisors is an integer number (19038432).

Almost surely, 2^420404020 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 420404020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456922368).

420404020 is an abundant number, since it is smaller than the sum of its proper divisors (493440716).

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

420404020 is a wasteful number, since it uses less digits than its factorization.

420404020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1910 counting only the distinct ones).

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

The square root of 420404020 is about 20503.7562412354. The cubic root of 420404020 is about 749.1272930521.

Adding to 420404020 its reverse (20404024), we get a palindrome (440808044).

The spelling of 420404020 in words is "four hundred twenty million, four hundred four thousand, twenty".