255834000 has 240 divisors, whose sum is σ = 912088944. Its totient is φ = 66816000.

The previous prime is 255833989. The next prime is 255834001. The reversal of 255834000 is 438552.

255834000 is a `hidden beast` number, since 255 + 8 + 3 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 196112016 + 59721984 = 14004^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (255834001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1097884 + ... + 1098116.

Almost surely, 2^255834000 is an apocalyptic number.

255834000 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 255834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456044472).

255834000 is an abundant number, since it is smaller than the sum of its proper divisors (656254944).

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

255834000 is a wasteful number, since it uses less digits than its factorization.

255834000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 255834000 is about 15994.8116587849. The cubic root of 255834000 is about 634.8231470626.

The spelling of 255834000 in words is "two hundred fifty-five million, eight hundred thirty-four thousand".