1005491808 has 36 divisors (see below), whose sum is σ = 2859368148. Its totient is φ = 335163840.

The previous prime is 1005491807. The next prime is 1005491813. The reversal of 1005491808 is 8081945001.

1005491808 is a `hidden beast` number, since 100 + 549 + 1 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1005491808² = 2022027551910217728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005491801) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1745358 + ... + 1745933.

It is an arithmetic number, because the mean of its divisors is an integer number (79426893).

Almost surely, 2^1005491808 is an apocalyptic number.

1005491808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005491808 is an abundant number, since it is smaller than the sum of its proper divisors (1853876340).

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

1005491808 is a wasteful number, since it uses less digits than its factorization.

1005491808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491307 (or 3491296 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 1005491808 is about 31709.4908189961. The cubic root of 1005491808 is about 1001.8272617475.

The spelling of 1005491808 in words is "one billion, five million, four hundred ninety-one thousand, eight hundred eight".