4267244800 has 432 divisors, whose sum is σ = 13796116992. Its totient is φ = 1268121600.

The previous prime is 4267244791. The next prime is 4267244837. The reversal of 4267244800 is 84427624.

It is a self number, because there is not a number n which added to its sum of digits gives 4267244800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9900585 + ... + 9901015.

It is an arithmetic number, because the mean of its divisors is an integer number (31935456).

Almost surely, 2^4267244800 is an apocalyptic number.

4267244800 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 4267244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6898058496).

4267244800 is an abundant number, since it is smaller than the sum of its proper divisors (9528872192).

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

4267244800 is a wasteful number, since it uses less digits than its factorization.

4267244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 37.

The square root of 4267244800 is about 65324.1517357861. The cubic root of 4267244800 is about 1621.9937855884.

The spelling of 4267244800 in words is "four billion, two hundred sixty-seven million, two hundred forty-four thousand, eight hundred".