255855600 has 720 divisors, whose sum is σ = 1208922624. Its totient is φ = 48384000.

The previous prime is 255855581. The next prime is 255855623. The reversal of 255855600 is 6558552.

255855600 is a `hidden beast` number, since 25 + 585 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3603565 + ... + 3603635.

Almost surely, 2^255855600 is an apocalyptic number.

255855600 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 255855600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604461312).

255855600 is an abundant number, since it is smaller than the sum of its proper divisors (953067024).

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

255855600 is a wasteful number, since it uses less digits than its factorization.

255855600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 255855600 is about 15995.4868634875. The cubic root of 255855600 is about 634.8410125458.

The spelling of 255855600 in words is "two hundred fifty-five million, eight hundred fifty-five thousand, six hundred".