1009483776 has 256 divisors, whose sum is σ = 3439276800. Its totient is φ = 286654464.

The previous prime is 1009483763. The next prime is 1009483793. The reversal of 1009483776 is 6773849001.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193071 + ... + 6193233.

It is an arithmetic number, because the mean of its divisors is an integer number (13434675).

Almost surely, 2^1009483776 is an apocalyptic number.

1009483776 is a gapful number since it is divisible by the number (16) 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 1009483776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1719638400).

1009483776 is an abundant number, since it is smaller than the sum of its proper divisors (2429793024).

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

1009483776 is an frugal number, since it uses more digits than its factorization.

1009483776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 1009483776 is about 31772.3744155202. The cubic root of 1009483776 is about 1003.1513174334.

The spelling of 1009483776 in words is "one billion, nine million, four hundred eighty-three thousand, seven hundred seventy-six".