973425600 has 840 divisors, whose sum is σ = 4344558240. Its totient is φ = 209018880.

The previous prime is 973425547. The next prime is 973425623. The reversal of 973425600 is 6524379.

973425600 is a `hidden beast` number, since 9 + 7 + 3 + 42 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26308782 + ... + 26308818.

Almost surely, 2^973425600 is an apocalyptic number.

973425600 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 973425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172279120).

973425600 is an abundant number, since it is smaller than the sum of its proper divisors (3371132640).

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

973425600 is a wasteful number, since it uses less digits than its factorization.

973425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 973425600 is about 31199.7692299158. The cubic root of 973425600 is about 991.0622207639.

Adding to 973425600 its reverse (6524379), we get a palindrome (979949979).

The spelling of 973425600 in words is "nine hundred seventy-three million, four hundred twenty-five thousand, six hundred".