1045509120 has 220 divisors, whose sum is σ = 3747999684. Its totient is φ = 278691840.

The previous prime is 1045509103. The next prime is 1045509121. The reversal of 1045509120 is 219055401.

1045509120 is a `hidden beast` number, since 1 + 0 + 4 + 550 + 91 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113550336 + 931958784 = 10656^2 + 30528^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045509121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413460 + ... + 415980.

Almost surely, 2^1045509120 is an apocalyptic number.

1045509120 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 1045509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873999842).

1045509120 is an abundant number, since it is smaller than the sum of its proper divisors (2702490564).

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

1045509120 is an equidigital number, since it uses as much as digits as its factorization.

1045509120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1045509120 is about 32334.3334553227. Note that the first 3 decimals coincide. The cubic root of 1045509120 is about 1014.9452339270.

The spelling of 1045509120 in words is "one billion, forty-five million, five hundred nine thousand, one hundred twenty".