255893760 has 216 divisors, whose sum is σ = 898399320. Its totient is φ = 67239936.

The previous prime is 255893753. The next prime is 255893761. The reversal of 255893760 is 67398552.

It is a happy number.

255893760 is a `hidden beast` number, since 2 + 5 + 589 + 3 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71368704 + 184525056 = 8448^2 + 13584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255893761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117326 + ... + 1117554.

Almost surely, 2^255893760 is an apocalyptic number.

255893760 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 255893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449199660).

255893760 is an abundant number, since it is smaller than the sum of its proper divisors (642505560).

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

255893760 is a wasteful number, since it uses less digits than its factorization.

255893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 255893760 is about 15996.6796554785. The cubic root of 255893760 is about 634.8725724423.

The spelling of 255893760 in words is "two hundred fifty-five million, eight hundred ninety-three thousand, seven hundred sixty".