1005410320 has 20 divisors (see below), whose sum is σ = 2337579180. Its totient is φ = 402164096.

The previous prime is 1005410317. The next prime is 1005410347. The reversal of 1005410320 is 230145001.

1005410320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 161391616 + 844018704 = 12704^2 + 29052^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1005410294 and 1005410303.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6283735 + ... + 6283894.

It is an arithmetic number, because the mean of its divisors is an integer number (116878959).

Almost surely, 2^1005410320 is an apocalyptic number.

1005410320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005410320 is an abundant number, since it is smaller than the sum of its proper divisors (1332168860).

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

1005410320 is a wasteful number, since it uses less digits than its factorization.

1005410320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567642 (or 12567636 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 1005410320 is about 31708.2058779742. The cubic root of 1005410320 is about 1001.8001973449.

Adding to 1005410320 its reverse (230145001), we get a palindrome (1235555321).

The spelling of 1005410320 in words is "one billion, five million, four hundred ten thousand, three hundred twenty".