4287225600 has 810 divisors, whose sum is σ = 18458186656. Its totient is φ = 948326400.

The previous prime is 4287225559. The next prime is 4287225611. The reversal of 4287225600 is 65227824.

4287225600 = 347³ + 348³ + ... + 421³.

4287225600 is a `hidden beast` number, since 4 + 28 + 7 + 2 + 25 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 138297585 + ... + 138297615.

Almost surely, 2^4287225600 is an apocalyptic number.

4287225600 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 4287225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9229093328).

4287225600 is an abundant number, since it is smaller than the sum of its proper divisors (14170961056).

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

4287225600 is an equidigital number, since it uses as much as digits as its factorization.

4287225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4287225600 is about 65476.9089068811. The cubic root of 4287225600 is about 1624.5214338285.

The spelling of 4287225600 in words is "four billion, two hundred eighty-seven million, two hundred twenty-five thousand, six hundred".