973000440 has 192 divisors, whose sum is σ = 3371284800. Its totient is φ = 242528256.

The previous prime is 973000409. The next prime is 973000459. The reversal of 973000440 is 44000379.

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, 1058301 + ... + 1059219.

It is an arithmetic number, because the mean of its divisors is an integer number (17558775).

Almost surely, 2^973000440 is an apocalyptic number.

973000440 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 973000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685642400).

973000440 is an abundant number, since it is smaller than the sum of its proper divisors (2398284360).

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

973000440 is a wasteful number, since it uses less digits than its factorization.

973000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 973000440 is about 31192.9549738398. The cubic root of 973000440 is about 990.9179120552.

The spelling of 973000440 in words is "nine hundred seventy-three million, four hundred forty", and thus it is an aban number.