1005009744 has 80 divisors (see below), whose sum is σ = 2653705152. Its totient is φ = 327634944.

The previous prime is 1005009743. The next prime is 1005009751. The reversal of 1005009744 is 4479005001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005009743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1492992 + ... + 1493664.

Almost surely, 2^1005009744 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 1005009744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326852576).

1005009744 is an abundant number, since it is smaller than the sum of its proper divisors (1648695408).

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

1005009744 is a wasteful number, since it uses less digits than its factorization.

1005009744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 1005009744 is about 31701.8886503628. Note that the first 3 decimals coincide. The cubic root of 1005009744 is about 1001.6671337871.

The spelling of 1005009744 in words is "one billion, five million, nine thousand, seven hundred forty-four".