1009054304 has 48 divisors (see below), whose sum is σ = 2085879600. Its totient is φ = 479829504.

The previous prime is 1009054303. The next prime is 1009054307. The reversal of 1009054304 is 4034509001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009054301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54062 + ... + 70290.

It is an arithmetic number, because the mean of its divisors is an integer number (43455825).

Almost surely, 2^1009054304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042939800).

1009054304 is an abundant number, since it is smaller than the sum of its proper divisors (1076825296).

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

1009054304 is a wasteful number, since it uses less digits than its factorization.

1009054304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16335 (or 16327 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 1009054304 is about 31765.6151207560. The cubic root of 1009054304 is about 1003.0090379424.

The spelling of 1009054304 in words is "one billion, nine million, fifty-four thousand, three hundred four".