973408800 has 288 divisors, whose sum is σ = 3900500352. Its totient is φ = 205332480.

The previous prime is 973408789. The next prime is 973408823. The reversal of 973408800 is 8804379.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216172 + ... + 220628.

It is an arithmetic number, because the mean of its divisors is an integer number (13543404).

Almost surely, 2^973408800 is an apocalyptic number.

It is a pronic number, being equal to 31199×31200.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 973408800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950250176).

973408800 is an abundant number, since it is smaller than the sum of its proper divisors (2927091552).

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

973408800 is a wasteful number, since it uses less digits than its factorization.

973408800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4500 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 973408800 is about 31199.4999959935. The cubic root of 973408800 is about 991.0565192697.

The spelling of 973408800 in words is "nine hundred seventy-three million, four hundred eight thousand, eight hundred".