4270840200 has 216 divisors, whose sum is σ = 15766145850. Its totient is φ = 1035302400.

The previous prime is 4270840199. The next prime is 4270840207. The reversal of 4270840200 is 20480724.

It can be written as a sum of positive squares in 3 ways, for example, as 4157928324 + 112911876 = 64482^2 + 10626^2 .

It is not an unprimeable number, because it can be changed into a prime (4270840207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 207996 + ... + 227604.

Almost surely, 2^4270840200 is an apocalyptic number.

4270840200 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 4270840200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7883072925).

4270840200 is an abundant number, since it is smaller than the sum of its proper divisors (11495305650).

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

4270840200 is a wasteful number, since it uses less digits than its factorization.

4270840200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19653 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 4270840200 is about 65351.6656252922. The cubic root of 4270840200 is about 1622.4491988307.

The spelling of 4270840200 in words is "four billion, two hundred seventy million, eight hundred forty thousand, two hundred".