1045265760 has 432 divisors, whose sum is σ = 4486049568. Its totient is φ = 216944640.

The previous prime is 1045265743. The next prime is 1045265777. The reversal of 1045265760 is 675625401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1045265743) and next prime (1045265777).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219252 + ... + 1220108.

It is an arithmetic number, because the mean of its divisors is an integer number (10384374).

It is a vampire number, since it can be written as 25710 ⋅ 40656 (with its own digits).

Almost surely, 2^1045265760 is an apocalyptic number.

1045265760 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 1045265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243024784).

1045265760 is an abundant number, since it is smaller than the sum of its proper divisors (3440783808).

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

1045265760 is a wasteful number, since it uses less digits than its factorization.

1045265760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1045265760 is about 32330.5700537433. The cubic root of 1045265760 is about 1014.8664792373.

The spelling of 1045265760 in words is "one billion, forty-five million, two hundred sixty-five thousand, seven hundred sixty".