4260286800 has 960 divisors, whose sum is σ = 19484467200. Its totient is φ = 858470400.

The previous prime is 4260286781. The next prime is 4260286841. The reversal of 4260286800 is 86820624.

4260286800 is a `hidden beast` number, since 42 + 602 + 8 + 6 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×4260286800³ (a number of 30 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39085146 + ... + 39085254.

It is an arithmetic number, because the mean of its divisors is an integer number (20296320).

Almost surely, 2^4260286800 is an apocalyptic number.

4260286800 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 4260286800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9742233600).

4260286800 is an abundant number, since it is smaller than the sum of its proper divisors (15224180400).

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

4260286800 is a wasteful number, since it uses less digits than its factorization.

4260286800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4260286800 is about 65270.8725236610. The cubic root of 4260286800 is about 1621.1117197646. Note that the first 3 decimals are identical.

The spelling of 4260286800 in words is "four billion, two hundred sixty million, two hundred eighty-six thousand, eight hundred".