255335040 has 192 divisors, whose sum is σ = 892742760. Its totient is φ = 67239936.

The previous prime is 255335033. The next prime is 255335083. The reversal of 255335040 is 40533552.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 20142144 = 15336^2 + 4488^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 255334995 and 255335013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558492 + ... + 558948.

Almost surely, 2^255335040 is an apocalyptic number.

255335040 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 255335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446371380).

255335040 is an abundant number, since it is smaller than the sum of its proper divisors (637407720).

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

255335040 is a wasteful number, since it uses less digits than its factorization.

255335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 255335040 is about 15979.2064884336. The cubic root of 255335040 is about 634.4101741924.

Adding to 255335040 its reverse (40533552), we get a palindrome (295868592).

The spelling of 255335040 in words is "two hundred fifty-five million, three hundred thirty-five thousand, forty".