945744000 has 512 divisors, whose sum is σ = 3551558400. Its totient is φ = 221184000.

The previous prime is 945743977. The next prime is 945744053. The reversal of 945744000 is 447549.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15503970 + ... + 15504030.

Almost surely, 2^945744000 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 945744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775779200).

945744000 is an abundant number, since it is smaller than the sum of its proper divisors (2605814400).

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

945744000 is a wasteful number, since it uses less digits than its factorization.

945744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 945744000 is about 30752.9510779047. The cubic root of 945744000 is about 981.5773570709.

The spelling of 945744000 in words is "nine hundred forty-five million, seven hundred forty-four thousand".