4225600 has 84 divisors (see below), whose sum is σ = 11023600. Its totient is φ = 1589760.

The previous prime is 4225597. The next prime is 4225607. The reversal of 4225600 is 65224.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (4225607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30331 + ... + 30469.

Almost surely, 2^4225600 is an apocalyptic number.

4225600 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 4225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511800).

4225600 is an abundant number, since it is smaller than the sum of its proper divisors (6798000).

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

4225600 is a wasteful number, since it uses less digits than its factorization.

4225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 4225600 is about 2055.6264252047. The cubic root of 4225600 is about 161.6700085515.

The spelling of 4225600 in words is "four million, two hundred twenty-five thousand, six hundred".