248403456000 has 1664 divisors, whose sum is σ = 1118735953920. Its totient is φ = 53084160000.

The previous prime is 248403455999. The next prime is 248403456043. The reversal of 248403456000 is 654304842.

248403456000 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 0 + 3 + 45 + 600 + 0 = 666.

248403456000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1645055925 + ... + 1645056075.

It is an arithmetic number, because the mean of its divisors is an integer number (672317280).

Almost surely, 2^248403456000 is an apocalyptic number.

248403456000 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 248403456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559367976960).

248403456000 is an abundant number, since it is smaller than the sum of its proper divisors (870332497920).

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

248403456000 is a wasteful number, since it uses less digits than its factorization.

248403456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 248403456000 in words is "two hundred forty-eight billion, four hundred three million, four hundred fifty-six thousand".