1680408249 has 32 divisors (see below), whose sum is σ = 2475884544. Its totient is φ = 1007311680.

The previous prime is 1680408217. The next prime is 1680408251. The reversal of 1680408249 is 9428040861.

It is not a de Polignac number, because 1680408249 - 2⁵ = 1680408217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1680408249.

It is not an unprimeable number, because it can be changed into a prime (1680408269) 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 31 ways as a sum of consecutive naturals, for example, 406704 + ... + 410814.

It is an arithmetic number, because the mean of its divisors is an integer number (77371392).

Almost surely, 2^1680408249 is an apocalyptic number.

It is an amenable number.

1680408249 is a deficient number, since it is larger than the sum of its proper divisors (795476295).

1680408249 is a wasteful number, since it uses less digits than its factorization.

1680408249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397.

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1680408249 is about 40992.7828891867. The cubic root of 1680408249 is about 1188.8806764122.

The spelling of 1680408249 in words is "one billion, six hundred eighty million, four hundred eight thousand, two hundred forty-nine".