973435320 has 480 divisors, whose sum is σ = 3893218560. Its totient is φ = 216691200.

The previous prime is 973435301. The next prime is 973435343. The reversal of 973435320 is 23534379.

973435320 is a `hidden beast` number, since 97 + 34 + 3 + 532 + 0 = 666.

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, 5096425 + ... + 5096615.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2^973435320 is an apocalyptic number.

973435320 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 973435320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946609280).

973435320 is an abundant number, since it is smaller than the sum of its proper divisors (2919783240).

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

973435320 is a wasteful number, since it uses less digits than its factorization.

973435320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 973435320 is about 31199.9249999099. The cubic root of 973435320 is about 991.0655194555.

Adding to 973435320 its reverse (23534379), we get a palindrome (996969699).

It can be divided in two parts, 9734 and 35320, that added together give a palindrome (45054).

The spelling of 973435320 in words is "nine hundred seventy-three million, four hundred thirty-five thousand, three hundred twenty".