945628800 has 192 divisors, whose sum is σ = 3141763200. Its totient is φ = 249978880.

The previous prime is 945628793. The next prime is 945628807. The reversal of 945628800 is 8826549.

It is an interprime number because it is at equal distance from previous prime (945628793) and next prime (945628807).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (945628807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1314841 + ... + 1315559.

It is an arithmetic number, because the mean of its divisors is an integer number (16363350).

Almost surely, 2^945628800 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 945628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570881600).

945628800 is an abundant number, since it is smaller than the sum of its proper divisors (2196134400).

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

945628800 is a wasteful number, since it uses less digits than its factorization.

945628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 945628800 is about 30751.0780298838. The cubic root of 945628800 is about 981.5375005125.

The spelling of 945628800 in words is "nine hundred forty-five million, six hundred twenty-eight thousand, eight hundred".