255456000 has 216 divisors, whose sum is σ = 920241504. Its totient is φ = 68044800.

The previous prime is 255455987. The next prime is 255456013. The reversal of 255456000 is 654552.

255456000 is a `hidden beast` number, since 2 + 5 + 54 + 5 + 600 + 0 = 666.

255456000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255455987) and next prime (255456013).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287557 + ... + 288443.

Almost surely, 2^255456000 is an apocalyptic number.

255456000 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 255456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460120752).

255456000 is an abundant number, since it is smaller than the sum of its proper divisors (664785504).

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

255456000 is an equidigital number, since it uses as much as digits as its factorization.

255456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 255456000 is about 15982.9909591415. The cubic root of 255456000 is about 634.5103381967.

The spelling of 255456000 in words is "two hundred fifty-five million, four hundred fifty-six thousand".