1005945330 has 96 divisors (see below), whose sum is σ = 2693605824. Its totient is φ = 239000832.

The previous prime is 1005945313. The next prime is 1005945341. The reversal of 1005945330 is 335495001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326457 + ... + 329523.

It is an arithmetic number, because the mean of its divisors is an integer number (28058394).

Almost surely, 2^1005945330 is an apocalyptic number.

1005945330 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 1005945330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346802912).

1005945330 is an abundant number, since it is smaller than the sum of its proper divisors (1687660494).

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

1005945330 is a wasteful number, since it uses less digits than its factorization.

1005945330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 1005945330 is about 31716.6412156142. The cubic root of 1005945330 is about 1001.9778621489.

The spelling of 1005945330 in words is "one billion, five million, nine hundred forty-five thousand, three hundred thirty".