248256000 has 240 divisors, whose sum is σ = 896246208. Its totient is φ = 66048000.

The previous prime is 248255989. The next prime is 248256007. The reversal of 248256000 is 652842.

248256000 is a `hidden beast` number, since 24 + 82 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248256007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575785 + ... + 576215.

Almost surely, 2^248256000 is an apocalyptic number.

248256000 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 248256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448123104).

248256000 is an abundant number, since it is smaller than the sum of its proper divisors (647990208).

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

248256000 is an equidigital number, since it uses as much as digits as its factorization.

248256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 248256000 is about 15756.1416596831. The cubic root of 248256000 is about 628.4922371702.

The spelling of 248256000 in words is "two hundred forty-eight million, two hundred fifty-six thousand".