420303420 has 144 divisors (see below), whose sum is σ = 1312103520. Its totient is φ = 108864000.

The previous prime is 420303419. The next prime is 420303431. The reversal of 420303420 is 24303024.

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 = 420303393 and 420303402.

It is a congruent number.

It is an unprimeable number.

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, 1108791 + ... + 1109169.

It is an arithmetic number, because the mean of its divisors is an integer number (9111830).

Almost surely, 2^420303420 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 420303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656051760).

420303420 is an abundant number, since it is smaller than the sum of its proper divisors (891800100).

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

420303420 is a wasteful number, since it uses less digits than its factorization.

420303420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 420303420 is about 20501.3028854266. The cubic root of 420303420 is about 749.0675344912.

Adding to 420303420 its reverse (24303024), we get a palindrome (444606444).

The spelling of 420303420 in words is "four hundred twenty million, three hundred three thousand, four hundred twenty".