973249920 has 192 divisors, whose sum is σ = 3538033200. Its totient is φ = 245846016.

The previous prime is 973249909. The next prime is 973249933. The reversal of 973249920 is 29942379.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104994 + ... + 113886.

Almost surely, 2^973249920 is an apocalyptic number.

973249920 is a gapful number since it is divisible by the number (90) 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 973249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769016600).

973249920 is an abundant number, since it is smaller than the sum of its proper divisors (2564783280).

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

973249920 is a wasteful number, since it uses less digits than its factorization.

973249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 973249920 is about 31196.9536974365. The cubic root of 973249920 is about 991.0025961810.

It can be divided in two parts, 973249 and 920, that added together give a square (974169 = 987²).

The spelling of 973249920 in words is "nine hundred seventy-three million, two hundred forty-nine thousand, nine hundred twenty".