4205302560 has 72 divisors (see below), whose sum is σ = 14350599900. Its totient is φ = 1121413632.

The previous prime is 4205302553. The next prime is 4205302567. The reversal of 4205302560 is 652035024.

It is an interprime number because it is at equal distance from previous prime (4205302553) and next prime (4205302567).

It can be written as a sum of positive squares in 2 ways, for example, as 4197484944 + 7817616 = 64788^2 + 2796^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4205302560² = 35369139242285107200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4205302567) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1458735 + ... + 1461614.

Almost surely, 2^4205302560 is an apocalyptic number.

4205302560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205302560 is an abundant number, since it is smaller than the sum of its proper divisors (10145297340).

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

4205302560 is a wasteful number, since it uses less digits than its factorization.

4205302560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920370 (or 2920359 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4205302560 is about 64848.3042183834. The cubic root of 4205302560 is about 1614.1073527172.

Adding to 4205302560 its reverse (652035024), we get a palindrome (4857337584).

The spelling of 4205302560 in words is "four billion, two hundred five million, three hundred two thousand, five hundred sixty".