945312000 has 288 divisors, whose sum is σ = 3226903680. Its totient is φ = 245145600.

The previous prime is 945311981. The next prime is 945312007. The reversal of 945312000 is 213549.

It is a super-2 number, since 2×945312000² = 1787229554688000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (945312007) 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, 4127886 + ... + 4128114.

Almost surely, 2^945312000 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 945312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613451840).

945312000 is an abundant number, since it is smaller than the sum of its proper divisors (2281591680).

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

945312000 is a wasteful number, since it uses less digits than its factorization.

945312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 945312000 is about 30745.9265594648. The cubic root of 945312000 is about 981.4278782833.

Adding to 945312000 its reverse (213549), we get a palindrome (945525549).

The spelling of 945312000 in words is "nine hundred forty-five million, three hundred twelve thousand".