255752560 has 120 divisors (see below), whose sum is σ = 705329856. Its totient is φ = 85962240.

The previous prime is 255752543. The next prime is 255752591. The reversal of 255752560 is 65257552.

It is a happy number.

255752560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 207145 + ... + 208375.

Almost surely, 2^255752560 is an apocalyptic number.

255752560 is a gapful number since it is divisible by the number (20) 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 255752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352664928).

255752560 is an abundant number, since it is smaller than the sum of its proper divisors (449577296).

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

255752560 is a wasteful number, since it uses less digits than its factorization.

255752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The square root of 255752560 is about 15992.2656306103. The cubic root of 255752560 is about 634.7557785294.

The spelling of 255752560 in words is "two hundred fifty-five million, seven hundred fifty-two thousand, five hundred sixty".