255340800 has 648 divisors, whose sum is σ = 1107095808. Its totient is φ = 55296000.

The previous prime is 255340793. The next prime is 255340817. The reversal of 255340800 is 8043552.

255340800 is a `hidden beast` number, since 255 + 3 + 408 + 0 + 0 = 666.

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, 8236785 + ... + 8236815.

Almost surely, 2^255340800 is an apocalyptic number.

255340800 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 255340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553547904).

255340800 is an abundant number, since it is smaller than the sum of its proper divisors (851755008).

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

255340800 is a wasteful number, since it uses less digits than its factorization.

255340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

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

The square root of 255340800 is about 15979.3867216486. The cubic root of 255340800 is about 634.4149446241.

The spelling of 255340800 in words is "two hundred fifty-five million, three hundred forty thousand, eight hundred".