1009442304 has 320 divisors, whose sum is σ = 3320412480. Its totient is φ = 300810240.

The previous prime is 1009442299. The next prime is 1009442363. The reversal of 1009442304 is 4032449001.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 7368124 + ... + 7368260.

It is an arithmetic number, because the mean of its divisors is an integer number (10376289).

Almost surely, 2^1009442304 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 1009442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660206240).

1009442304 is an abundant number, since it is smaller than the sum of its proper divisors (2310970176).

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

1009442304 is a wasteful number, since it uses less digits than its factorization.

1009442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1009442304 is about 31771.7217663758. The cubic root of 1009442304 is about 1003.1375799628.

The spelling of 1009442304 in words is "one billion, nine million, four hundred forty-two thousand, three hundred four".