4225615200 has 864 divisors, whose sum is σ = 17548876800. Its totient is φ = 948879360.

The previous prime is 4225615189. The next prime is 4225615237. The reversal of 4225615200 is 25165224.

4225615200 is a `hidden beast` number, since 4 + 2 + 25 + 615 + 20 + 0 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 53488761 + ... + 53488839.

It is an arithmetic number, because the mean of its divisors is an integer number (20311200).

Almost surely, 2^4225615200 is an apocalyptic number.

4225615200 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 4225615200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

4225615200 is an abundant number, since it is smaller than the sum of its proper divisors (13323261600).

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

4225615200 is a wasteful number, since it uses less digits than its factorization.

4225615200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4225615200 is about 65004.7321354376. The cubic root of 4225615200 is about 1616.7020240020.

The spelling of 4225615200 in words is "four billion, two hundred twenty-five million, six hundred fifteen thousand, two hundred".