255248000 has 256 divisors, whose sum is σ = 756138240. Its totient is φ = 83865600.

The previous prime is 255247999. The next prime is 255248009. The reversal of 255248000 is 842552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255248009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4815974 + ... + 4816026.

It is an arithmetic number, because the mean of its divisors is an integer number (2953665).

Almost surely, 2^255248000 is an apocalyptic number.

255248000 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 255248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378069120).

255248000 is an abundant number, since it is smaller than the sum of its proper divisors (500890240).

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

255248000 is an equidigital number, since it uses as much as digits as its factorization.

255248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 255248000 is about 15976.4827167935. The cubic root of 255248000 is about 634.3380789338.

The spelling of 255248000 in words is "two hundred fifty-five million, two hundred forty-eight thousand".