1009005424 has 80 divisors (see below), whose sum is σ = 2279854080. Its totient is φ = 423682560.

The previous prime is 1009005419. The next prime is 1009005443. The reversal of 1009005424 is 4245009001.

It is a super-2 number, since 2×1009005424² = 2036183891322839552, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1773012 + ... + 1773580.

It is an arithmetic number, because the mean of its divisors is an integer number (28498176).

Almost surely, 2^1009005424 is an apocalyptic number.

1009005424 is a gapful number since it is divisible by the number (14) 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 1009005424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139927040).

1009005424 is an abundant number, since it is smaller than the sum of its proper divisors (1270848656).

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

1009005424 is a wasteful number, since it uses less digits than its factorization.

1009005424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1009005424 is about 31764.8457260538. The cubic root of 1009005424 is about 1002.9928419613.

The spelling of 1009005424 in words is "one billion, nine million, five thousand, four hundred twenty-four".