973645440 has 128 divisors (see below), whose sum is σ = 3121934400. Its totient is φ = 258097152.

The previous prime is 973645399. The next prime is 973645451. The reversal of 973645440 is 44546379.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 973645392 and 973645401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342264 + ... + 345096.

Almost surely, 2^973645440 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 973645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560967200).

973645440 is an abundant number, since it is smaller than the sum of its proper divisors (2148288960).

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

973645440 is a wasteful number, since it uses less digits than its factorization.

973645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 973645440 is about 31203.2921340041. The cubic root of 973645440 is about 991.1368228423.

The spelling of 973645440 in words is "nine hundred seventy-three million, six hundred forty-five thousand, four hundred forty".