1009044000 has 192 divisors, whose sum is σ = 3673313280. Its totient is φ = 269049600.

The previous prime is 1009043969. The next prime is 1009044037. The reversal of 1009044000 is 4409001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 103329 + ... + 112671.

It is an arithmetic number, because the mean of its divisors is an integer number (19131840).

Almost surely, 2^1009044000 is an apocalyptic number.

1009044000 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 1009044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836656640).

1009044000 is an abundant number, since it is smaller than the sum of its proper divisors (2664269280).

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

1009044000 is an equidigital number, since it uses as much as digits as its factorization.

1009044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9353 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1009044000 is about 31765.4529323918. The cubic root of 1009044000 is about 1003.0056238413.

The spelling of 1009044000 in words is "one billion, nine million, forty-four thousand".