420303104 has 216 divisors, whose sum is σ = 1054213440. Its totient is φ = 165445632.

The previous prime is 420303101. The next prime is 420303109. The reversal of 420303104 is 401303024.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (420303101) 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, 18274037 + ... + 18274059.

Almost surely, 2^420303104 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 420303104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527106720).

420303104 is an abundant number, since it is smaller than the sum of its proper divisors (633910336).

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

420303104 is a wasteful number, since it uses less digits than its factorization.

420303104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 420303104 is about 20501.2951785979. The cubic root of 420303104 is about 749.0673467654.

Adding to 420303104 its reverse (401303024), we get a palindrome (821606128).

The spelling of 420303104 in words is "four hundred twenty million, three hundred three thousand, one hundred four".