1045648800 has 216 divisors, whose sum is σ = 4214167776. Its totient is φ = 238993920.

The previous prime is 1045648787. The next prime is 1045648811. The reversal of 1045648800 is 88465401.

1045648800 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 648 + 8 + 0 + 0 = 666.

1045648800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40027 + ... + 60773.

It is an arithmetic number, because the mean of its divisors is an integer number (19510036).

Almost surely, 2^1045648800 is an apocalyptic number.

1045648800 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 1045648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107083888).

1045648800 is an abundant number, since it is smaller than the sum of its proper divisors (3168518976).

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

1045648800 is a wasteful number, since it uses less digits than its factorization.

1045648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20780 (or 20764 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1045648800 is about 32336.4933163755. The cubic root of 1045648800 is about 1014.9904308027.

The spelling of 1045648800 in words is "one billion, forty-five million, six hundred forty-eight thousand, eight hundred".