260414532 has 144 divisors (see below), whose sum is σ = 799693440. Its totient is φ = 69797376.

The previous prime is 260414527. The next prime is 260414537. The reversal of 260414532 is 235414062.

260414532 is a `hidden beast` number, since 2 + 604 + 1 + 4 + 53 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (260414527) and next prime (260414537).

It is a junction number, because it is equal to n+sod(n) for n = 260414496 and 260414505.

It is not an unprimeable number, because it can be changed into a prime (260414537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 655758 + ... + 656154.

Almost surely, 2^260414532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260414532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399846720).

260414532 is an abundant number, since it is smaller than the sum of its proper divisors (539278908).

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

260414532 is a wasteful number, since it uses less digits than its factorization.

260414532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 260414532 is about 16137.3644688344. The cubic root of 260414532 is about 638.5894487870.

Adding to 260414532 its reverse (235414062), we get a palindrome (495828594).

The spelling of 260414532 in words is "two hundred sixty million, four hundred fourteen thousand, five hundred thirty-two".