4200084200 has 96 divisors (see below), whose sum is σ = 10660906200. Its totient is φ = 1529487360.

The previous prime is 4200084169. The next prime is 4200084223. The reversal of 4200084200 is 24800024.

4200084200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 581099236 + 3618984964 = 24106^2 + 60158^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178736 + ... + 200864.

Almost surely, 2^4200084200 is an apocalyptic number.

4200084200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5330453100).

4200084200 is an abundant number, since it is smaller than the sum of its proper divisors (6460822000).

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

4200084200 is a wasteful number, since it uses less digits than its factorization.

4200084200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22231 (or 22222 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4200084200 is about 64808.0565979262. The cubic root of 4200084200 is about 1613.4394277534.

Adding to 4200084200 its reverse (24800024), we get a palindrome (4224884224).

The spelling of 4200084200 in words is "four billion, two hundred million, eighty-four thousand, two hundred".