1009281930 has 64 divisors (see below), whose sum is σ = 2493590400. Its totient is φ = 261252864.

The previous prime is 1009281913. The next prime is 1009281937. The reversal of 1009281930 is 391829001.

It is a junction number, because it is equal to n+sod(n) for n = 1009281891 and 1009281900.

It is not an unprimeable number, because it can be changed into a prime (1009281937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650796 + ... + 652344.

It is an arithmetic number, because the mean of its divisors is an integer number (38962350).

Almost surely, 2^1009281930 is an apocalyptic number.

1009281930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009281930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

1009281930 is an abundant number, since it is smaller than the sum of its proper divisors (1484308470).

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

1009281930 is a wasteful number, since it uses less digits than its factorization.

1009281930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183.

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1009281930 is about 31769.1978180123. The cubic root of 1009281930 is about 1003.0844530345.

The spelling of 1009281930 in words is "one billion, nine million, two hundred eighty-one thousand, nine hundred thirty".