973977600 has 288 divisors, whose sum is σ = 3418374960. Its totient is φ = 243793920.

The previous prime is 973977581. The next prime is 973977637. The reversal of 973977600 is 6779379.

973977600 is digitally balanced in base 6, 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 973977600.

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, 2611014 + ... + 2611386.

Almost surely, 2^973977600 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 973977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709187480).

973977600 is an abundant number, since it is smaller than the sum of its proper divisors (2444397360).

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

973977600 is a wasteful number, since it uses less digits than its factorization.

973977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 500094, while the sum is 48.

The square root of 973977600 is about 31208.6141954429. The cubic root of 973977600 is about 991.2495190947.

The spelling of 973977600 in words is "nine hundred seventy-three million, nine hundred seventy-seven thousand, six hundred".