973486800 has 720 divisors, whose sum is σ = 4164066816. Its totient is φ = 207360000.

The previous prime is 973486781. The next prime is 973486823. The reversal of 973486800 is 8684379.

It is a happy number.

973486800 is a `hidden beast` number, since 97 + 3 + 486 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15958770 + ... + 15958830.

Almost surely, 2^973486800 is an apocalyptic number.

973486800 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 973486800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082033408).

973486800 is an abundant number, since it is smaller than the sum of its proper divisors (3190580016).

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

973486800 is a wasteful number, since it uses less digits than its factorization.

973486800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 973486800 is about 31200.7499909858. The cubic root of 973486800 is about 991.0829899378.

The spelling of 973486800 in words is "nine hundred seventy-three million, four hundred eighty-six thousand, eight hundred".