4286080 has 64 divisors (see below), whose sum is σ = 10581480. Its totient is φ = 1658880.

The previous prime is 4286059. The next prime is 4286081. The reversal of 4286080 is 806824.

4286080 is digitally balanced in base 5, 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 4 ways, for example, as 3013696 + 1272384 = 1736^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4286081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23590 + ... + 23770.

Almost surely, 2^4286080 is an apocalyptic number.

4286080 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 4286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5290740).

4286080 is an abundant number, since it is smaller than the sum of its proper divisors (6295400).

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

4286080 is a wasteful number, since it uses less digits than its factorization.

4286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4286080 is about 2070.2850045344. The cubic root of 4286080 is about 162.4376723495.

The spelling of 4286080 in words is "four million, two hundred eighty-six thousand, eighty".