4220867200 has 192 divisors, whose sum is σ = 11480336640. Its totient is φ = 1533312000.

The previous prime is 4220867197. The next prime is 4220867201. The reversal of 4220867200 is 27680224.

It is not an unprimeable number, because it can be changed into a prime (4220867201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4258705 + ... + 4259695.

It is an arithmetic number, because the mean of its divisors is an integer number (59793420).

Almost surely, 2^4220867200 is an apocalyptic number.

4220867200 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 4220867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740168320).

4220867200 is an abundant number, since it is smaller than the sum of its proper divisors (7259469440).

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

4220867200 is an equidigital number, since it uses as much as digits as its factorization.

4220867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 4220867200 is about 64968.2014527107. The cubic root of 4220867200 is about 1616.0962756744.

The spelling of 4220867200 in words is "four billion, two hundred twenty million, eight hundred sixty-seven thousand, two hundred".