1009481760 has 576 divisors, whose sum is σ = 4296644352. Its totient is φ = 210567168.

The previous prime is 1009481729. The next prime is 1009481783. The reversal of 1009481760 is 671849001.

1009481760 is a `hidden beast` number, since 100 + 9 + 481 + 76 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7368412 + ... + 7368548.

It is an arithmetic number, because the mean of its divisors is an integer number (7459452).

Almost surely, 2^1009481760 is an apocalyptic number.

1009481760 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 1009481760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148322176).

1009481760 is an abundant number, since it is smaller than the sum of its proper divisors (3287162592).

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

1009481760 is a wasteful number, since it uses less digits than its factorization.

1009481760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1009481760 is about 31772.3426898301. The cubic root of 1009481760 is about 1003.1506496484.

The spelling of 1009481760 in words is "one billion, nine million, four hundred eighty-one thousand, seven hundred sixty".