973248000 has 320 divisors, whose sum is σ = 3347517888. Its totient is φ = 250675200.

The previous prime is 973247971. The next prime is 973248053. The reversal of 973248000 is 842379.

It is a tau number, because it is divible by the number of its divisors (320).

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, 7103932 + ... + 7104068.

Almost surely, 2^973248000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673758944).

973248000 is an abundant number, since it is smaller than the sum of its proper divisors (2374269888).

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

973248000 is a wasteful number, since it uses less digits than its factorization.

973248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 973248000 is about 31196.9229251861. The cubic root of 973248000 is about 991.0019445065.

The spelling of 973248000 in words is "nine hundred seventy-three million, two hundred forty-eight thousand".