255852000 has 384 divisors, whose sum is σ = 981227520. Its totient is φ = 64627200.

The previous prime is 255851987. The next prime is 255852017. The reversal of 255852000 is 258552.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2483949 + ... + 2484051.

It is an arithmetic number, because the mean of its divisors is an integer number (2555280).

Almost surely, 2^255852000 is an apocalyptic number.

255852000 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 255852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490613760).

255852000 is an abundant number, since it is smaller than the sum of its proper divisors (725375520).

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

255852000 is a wasteful number, since it uses less digits than its factorization.

255852000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 255852000 is about 15995.3743313497. The cubic root of 255852000 is about 634.8380350351.

The spelling of 255852000 in words is "two hundred fifty-five million, eight hundred fifty-two thousand".