945984000 has 320 divisors, whose sum is σ = 3396032640. Its totient is φ = 232243200.

The previous prime is 945983977. The next prime is 945984001. The reversal of 945984000 is 489549.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 945984000.

It is not an unprimeable number, because it can be changed into a prime (945984001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2495811 + ... + 2496189.

It is an arithmetic number, because the mean of its divisors is an integer number (10612602).

Almost surely, 2^945984000 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 945984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698016320).

945984000 is an abundant number, since it is smaller than the sum of its proper divisors (2450048640).

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

945984000 is a wasteful number, since it uses less digits than its factorization.

945984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 945984000 is about 30756.8528949241. The cubic root of 945984000 is about 981.6603811737.

The spelling of 945984000 in words is "nine hundred forty-five million, nine hundred eighty-four thousand".