1045444240 has 80 divisors (see below), whose sum is σ = 2636550000. Its totient is φ = 383959040.

The previous prime is 1045444219. The next prime is 1045444243. The reversal of 1045444240 is 424445401.

It can be written as a sum of positive squares in 8 ways, for example, as 18113536 + 1027330704 = 4256^2 + 32052^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1045444199 and 1045444208.

It is not an unprimeable number, because it can be changed into a prime (1045444243) 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 15 ways as a sum of consecutive naturals, for example, 46386 + ... + 65134.

It is an arithmetic number, because the mean of its divisors is an integer number (32956875).

Almost surely, 2^1045444240 is an apocalyptic number.

1045444240 is a gapful number since it is divisible by the number (10) 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 1045444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318275000).

1045444240 is an abundant number, since it is smaller than the sum of its proper divisors (1591105760).

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

1045444240 is a wasteful number, since it uses less digits than its factorization.

1045444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820 (or 18814 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 1045444240 is about 32333.3301718212. The cubic root of 1045444240 is about 1014.9242390491.

Adding to 1045444240 its reverse (424445401), we get a palindrome (1469889641).

The spelling of 1045444240 in words is "one billion, forty-five million, four hundred forty-four thousand, two hundred forty".