4287385600 has 156 divisors (see below), whose sum is σ = 10740858300. Its totient is φ = 1697382400.

The previous prime is 4287385589. The next prime is 4287385603. The reversal of 4287385600 is 65837824.

It can be written as a sum of positive squares in 6 ways, for example, as 305270784 + 3982114816 = 17472^2 + 63104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4287385603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15257460 + ... + 15257740.

Almost surely, 2^4287385600 is an apocalyptic number.

4287385600 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 4287385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370429150).

4287385600 is an abundant number, since it is smaller than the sum of its proper divisors (6453472700).

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

4287385600 is a wasteful number, since it uses less digits than its factorization.

4287385600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The square root of 4287385600 is about 65478.1307002575. The cubic root of 4287385600 is about 1624.5416427173.

The spelling of 4287385600 in words is "four billion, two hundred eighty-seven million, three hundred eighty-five thousand, six hundred".