4286870800 has 60 divisors (see below), whose sum is σ = 10358907300. Its totient is φ = 1704808960.

The previous prime is 4286870759. The next prime is 4286870803. The reversal of 4286870800 is 80786824.

4286870800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 102333456 + 4184537344 = 10116^2 + 64688^2 .

It is a super-2 number, since 2×4286870800² = 36754522511785280000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4286870803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38226 + ... + 100174.

It is an arithmetic number, because the mean of its divisors is an integer number (172648455).

Almost surely, 2^4286870800 is an apocalyptic number.

4286870800 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 4286870800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179453650).

4286870800 is an abundant number, since it is smaller than the sum of its proper divisors (6072036500).

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

4286870800 is a wasteful number, since it uses less digits than its factorization.

4286870800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62140 (or 62129 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 4286870800 is about 65474.1994987339. The cubic root of 4286870800 is about 1624.4766188238.

The spelling of 4286870800 in words is "four billion, two hundred eighty-six million, eight hundred seventy thousand, eight hundred".