255538800 has 360 divisors, whose sum is σ = 1007435520. Its totient is φ = 61689600.

The previous prime is 255538783. The next prime is 255538813. The reversal of 255538800 is 8835552.

255538800 is a `hidden beast` number, since 25 + 553 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 1069081 + ... + 1069319.

It is an arithmetic number, because the mean of its divisors is an integer number (2798432).

Almost surely, 2^255538800 is an apocalyptic number.

255538800 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 255538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503717760).

255538800 is an abundant number, since it is smaller than the sum of its proper divisors (751896720).

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

255538800 is a wasteful number, since it uses less digits than its factorization.

255538800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 255538800 is about 15985.5810028913. The cubic root of 255538800 is about 634.5788846140.

The spelling of 255538800 in words is "two hundred fifty-five million, five hundred thirty-eight thousand, eight hundred".