4267032200 has 108 divisors (see below), whose sum is σ = 10320462495. Its totient is φ = 1640668800.

The previous prime is 4267032101. The next prime is 4267032221. The reversal of 4267032200 is 22307624.

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 5 ways, for example, as 181010116 + 4086022084 = 13454^2 + 63922^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=46190.

It is a self number, because there is not a number n which added to its sum of digits gives 4267032200.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 28637726 + ... + 28637874.

Almost surely, 2^4267032200 is an apocalyptic number.

4267032200 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 4267032200

4267032200 is an abundant number, since it is smaller than the sum of its proper divisors (6053430295).

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

4267032200 is a wasteful number, since it uses less digits than its factorization.

4267032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 4267032200 is about 65322.5244460133. The cubic root of 4267032200 is about 1621.9668484880.

Adding to 4267032200 its reverse (22307624), we get a palindrome (4289339824).

The spelling of 4267032200 in words is "four billion, two hundred sixty-seven million, thirty-two thousand, two hundred".