4360 has 16 divisors (see below), whose sum is σ = 9900. Its totient is φ = 1728.

The previous prime is 4357. The next prime is 4363. The reversal of 4360 is 634.

It is an interprime number because it is at equal distance from previous prime (4357) and next prime (4363).

It can be written as a sum of positive squares in 2 ways, for example, as 4356 + 4 = 66^2 + 2^2 .

It is a plaindrome in base 15.

It is a self number, because there is not a number *n* which added to its sum of digits gives 4360.

It is not an unprimeable number, because it can be changed into a prime (4363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15 + ... + 94.

4360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4360 is an abundant number, since it is smaller than the sum of its proper divisors (5540).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950).

4360 is a wasteful number, since it uses less digits than its factorization.

4360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4360 is about 66.0302960769. The cubic root of 4360 is about 16.3366183406.

Adding to 4360 its reverse (634), we get a palindrome (4994).

The spelling of 4360 in words is "four thousand, three hundred sixty".

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