1045240560 has 720 divisors, whose sum is σ = 4584644064. Its totient is φ = 211341312.

The previous prime is 1045240549. The next prime is 1045240561. The reversal of 1045240560 is 650425401.

1045240560 is a `hidden beast` number, since 10 + 4 + 52 + 40 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1045240560² = 2185055656538227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045240561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19721494 + ... + 19721546.

Almost surely, 2^1045240560 is an apocalyptic number.

1045240560 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 1045240560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2292322032).

1045240560 is an abundant number, since it is smaller than the sum of its proper divisors (3539403504).

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

1045240560 is a wasteful number, since it uses less digits than its factorization.

1045240560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1045240560 is about 32330.1803273659. The cubic root of 1045240560 is about 1014.8583234675.

Adding to 1045240560 its reverse (650425401), we get a palindrome (1695665961).

The spelling of 1045240560 in words is "one billion, forty-five million, two hundred forty thousand, five hundred sixty".