4286248200 has 288 divisors, whose sum is σ = 15648764040. Its totient is φ = 1045094400.

The previous prime is 4286248177. The next prime is 4286248229. The reversal of 4286248200 is 28426824.

It is a happy number.

4286248200 is a `hidden beast` number, since 4 + 2 + 8 + 624 + 8 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 70862724 + 4215385476 = 8418^2 + 64926^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2643390 + ... + 2645010.

Almost surely, 2^4286248200 is an apocalyptic number.

4286248200 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 4286248200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824382020).

4286248200 is an abundant number, since it is smaller than the sum of its proper divisors (11362515840).

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

4286248200 is a wasteful number, since it uses less digits than its factorization.

4286248200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 4286248200 is about 65469.4447815162. Note that the first 3 decimals coincide. The cubic root of 4286248200 is about 1624.3979718606.

The spelling of 4286248200 in words is "four billion, two hundred eighty-six million, two hundred forty-eight thousand, two hundred".