4282986960 has 240 divisors, whose sum is σ = 16671432960. Its totient is φ = 965099520.

The previous prime is 4282986959. The next prime is 4282986997. The reversal of 4282986960 is 696892824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 4282986897 and 4282986906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351856 + ... + 363824.

It is an arithmetic number, because the mean of its divisors is an integer number (69464304).

Almost surely, 2^4282986960 is an apocalyptic number.

4282986960 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 4282986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335716480).

4282986960 is an abundant number, since it is smaller than the sum of its proper divisors (12388446000).

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

4282986960 is a wasteful number, since it uses less digits than its factorization.

4282986960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4282986960 is about 65444.5334615505. The cubic root of 4282986960 is about 1623.9858868600.

The spelling of 4282986960 in words is "four billion, two hundred eighty-two million, nine hundred eighty-six thousand, nine hundred sixty".