945613440 has 640 divisors, whose sum is σ = 3798867600. Its totient is φ = 222953472.

The previous prime is 945613393. The next prime is 945613441. The reversal of 945613440 is 44316549.

945613440 is a `hidden beast` number, since 94 + 561 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 752514624 + 193098816 = 27432^2 + 13896^2 .

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 945613395 and 945613404.

It is not an unprimeable number, because it can be changed into a prime (945613441) 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 79 ways as a sum of consecutive naturals, for example, 25557102 + ... + 25557138.

Almost surely, 2^945613440 is an apocalyptic number.

945613440 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 945613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899433800).

945613440 is an abundant number, since it is smaller than the sum of its proper divisors (2853254160).

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

945613440 is a wasteful number, since it uses less digits than its factorization.

945613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 945613440 is about 30750.8282815276. The cubic root of 945613440 is about 981.5321860601.

Adding to 945613440 its reverse (44316549), we get a palindrome (989929989).

The spelling of 945613440 in words is "nine hundred forty-five million, six hundred thirteen thousand, four hundred forty".