420301420 has 144 divisors (see below), whose sum is σ = 1132572672. Its totient is φ = 129548160.

The previous prime is 420301417. The next prime is 420301429. The reversal of 420301420 is 24103024.

420301420 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 420301394 and 420301403.

It is not an unprimeable number, because it can be changed into a prime (420301429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368907 + ... + 1369213.

It is an arithmetic number, because the mean of its divisors is an integer number (7865088).

Almost surely, 2^420301420 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 420301420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566286336).

420301420 is an abundant number, since it is smaller than the sum of its proper divisors (712271252).

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

420301420 is a wasteful number, since it uses less digits than its factorization.

420301420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 420301420 is about 20501.2541079808. The cubic root of 420301420 is about 749.0663463516.

Adding to 420301420 its reverse (24103024), we get a palindrome (444404444).

The spelling of 420301420 in words is "four hundred twenty million, three hundred one thousand, four hundred twenty".