420201104 has 40 divisors (see below), whose sum is σ = 870000120. Its totient is φ = 195913728.

The previous prime is 420201101. The next prime is 420201113. The reversal of 420201104 is 401102024.

It can be written as a sum of positive squares in 4 ways, for example, as 236544400 + 183656704 = 15380^2 + 13552^2 .

It is not an unprimeable number, because it can be changed into a prime (420201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22562 + ... + 36734.

It is an arithmetic number, because the mean of its divisors is an integer number (21750003).

Almost surely, 2^420201104 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 420201104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435000060).

420201104 is an abundant number, since it is smaller than the sum of its proper divisors (449799016).

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

420201104 is a wasteful number, since it uses less digits than its factorization.

420201104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14307 (or 14301 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 420201104 is about 20498.8073799429. The cubic root of 420201104 is about 749.0067468078.

Adding to 420201104 its reverse (401102024), we get a palindrome (821303128).

The spelling of 420201104 in words is "four hundred twenty million, two hundred one thousand, one hundred four".