1045081800 has 648 divisors, whose sum is σ = 4442821110. Its totient is φ = 219340800.

The previous prime is 1045081771. The next prime is 1045081811. The reversal of 1045081800 is 81805401.

It can be written as a sum of positive squares in 9 ways, for example, as 71267364 + 973814436 = 8442^2 + 31206^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 25489780 + ... + 25489820.

Almost surely, 2^1045081800 is an apocalyptic number.

1045081800 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 1045081800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221410555).

1045081800 is an abundant number, since it is smaller than the sum of its proper divisors (3397739310).

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

1045081800 is a wasteful number, since it uses less digits than its factorization.

1045081800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1045081800 is about 32327.7249431506. The cubic root of 1045081800 is about 1014.8069391031.

The spelling of 1045081800 in words is "one billion, forty-five million, eighty-one thousand, eight hundred".