4225207200 has 288 divisors, whose sum is σ = 15068410560. Its totient is φ = 1023590400.

The previous prime is 4225207169. The next prime is 4225207241. The reversal of 4225207200 is 27025224.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 1181415 + ... + 1184985.

It is an arithmetic number, because the mean of its divisors is an integer number (52320870).

Almost surely, 2^4225207200 is an apocalyptic number.

4225207200 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 4225207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534205280).

4225207200 is an abundant number, since it is smaller than the sum of its proper divisors (10843203360).

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

4225207200 is a wasteful number, since it uses less digits than its factorization.

4225207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 4225207200 is about 65001.5938266132. The cubic root of 4225207200 is about 1616.6499893179.

The spelling of 4225207200 in words is "four billion, two hundred twenty-five million, two hundred seven thousand, two hundred".