945945440 has 96 divisors (see below), whose sum is σ = 2497612320. Its totient is φ = 335564800.

The previous prime is 945945409. The next prime is 945945443. The reversal of 945945440 is 44549549.

945945440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 945945391 and 945945400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945945443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65606 + ... + 78714.

It is an arithmetic number, because the mean of its divisors is an integer number (26016795).

Almost surely, 2^945945440 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 945945440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248806160).

945945440 is an abundant number, since it is smaller than the sum of its proper divisors (1551666880).

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

945945440 is a wasteful number, since it uses less digits than its factorization.

945945440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13176 (or 13168 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 945945440 is about 30756.2260363654. The cubic root of 945945440 is about 981.6470429147.

The spelling of 945945440 in words is "nine hundred forty-five million, nine hundred forty-five thousand, four hundred forty".