4286684160 has 352 divisors, whose sum is σ = 16624915200. Its totient is φ = 1038827520.

The previous prime is 4286684153. The next prime is 4286684189. The reversal of 4286684160 is 614866824.

4286684160 is a `hidden beast` number, since 428 + 6 + 68 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×4286684160² = 36751322175189811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519231 + ... + 1522049.

Almost surely, 2^4286684160 is an apocalyptic number.

4286684160 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 4286684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8312457600).

4286684160 is an abundant number, since it is smaller than the sum of its proper divisors (12338231040).

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

4286684160 is a wasteful number, since it uses less digits than its factorization.

4286684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4286684160 is about 65472.7741889711. The cubic root of 4286684160 is about 1624.4530432190.

The spelling of 4286684160 in words is "four billion, two hundred eighty-six million, six hundred eighty-four thousand, one hundred sixty".