945453600 has 864 divisors, whose sum is σ = 4345971840. Its totient is φ = 194088960.

The previous prime is 945453569. The next prime is 945453601. The reversal of 945453600 is 6354549.

It is a happy number.

945453600 is a `hidden beast` number, since 9 + 4 + 5 + 45 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (945453601) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 25552782 + ... + 25552818.

It is an arithmetic number, because the mean of its divisors is an integer number (5030060).

Almost surely, 2^945453600 is an apocalyptic number.

945453600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2172985920).

945453600 is an abundant number, since it is smaller than the sum of its proper divisors (3400518240).

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

945453600 is a wasteful number, since it uses less digits than its factorization.

945453600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 945453600 is about 30748.2292173062. The cubic root of 945453600 is about 981.4768791244.

The spelling of 945453600 in words is "nine hundred forty-five million, four hundred fifty-three thousand, six hundred".