4084272200 has 36 divisors (see below), whose sum is σ = 9498034665. Its totient is φ = 1633347360.

The previous prime is 4084272193. The next prime is 4084272299. The reversal of 4084272200 is 22724804.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4002586756 + 81685444 = 63266^2 + 9038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=45190.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 901541 + ... + 906059.

Almost surely, 2^4084272200 is an apocalyptic number.

4084272200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084272200 is an abundant number, since it is smaller than the sum of its proper divisors (5413762465).

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

4084272200 is an frugal number, since it uses more digits than its factorization.

4084272200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9054 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 4084272200 is about 63908.3108836402. The cubic root of 4084272200 is about 1598.4714829456.

The spelling of 4084272200 in words is "four billion, eighty-four million, two hundred seventy-two thousand, two hundred".