1005480216 has 80 divisors (see below), whose sum is σ = 3032937600. Its totient is φ = 309375936.

The previous prime is 1005480193. The next prime is 1005480239. The reversal of 1005480216 is 6120845001.

1005480216 is a `hidden beast` number, since 100 + 548 + 0 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (1005480193) and next prime (1005480239).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1005480216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 51256 + ... + 68103.

It is an arithmetic number, because the mean of its divisors is an integer number (37911720).

Almost surely, 2^1005480216 is an apocalyptic number.

It is an amenable number.

1005480216 is an abundant number, since it is smaller than the sum of its proper divisors (2027457384).

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

1005480216 is a wasteful number, since it uses less digits than its factorization.

1005480216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119390 (or 119377 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1005480216 is about 31709.3080340773. The cubic root of 1005480216 is about 1001.8234118152.

The spelling of 1005480216 in words is "one billion, five million, four hundred eighty thousand, two hundred sixteen".