248064000 has 384 divisors, whose sum is σ = 919900800. Its totient is φ = 58982400.

The previous prime is 248063957. The next prime is 248064013. The reversal of 248064000 is 460842.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13055991 + ... + 13056009.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^248064000 is an apocalyptic number.

248064000 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 248064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

248064000 is an abundant number, since it is smaller than the sum of its proper divisors (671836800).

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

248064000 is a wasteful number, since it uses less digits than its factorization.

248064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 248064000 is about 15750.0476189756. The cubic root of 248064000 is about 628.3301710884.

The spelling of 248064000 in words is "two hundred forty-eight million, sixty-four thousand".