1809419808 has 96 divisors (see below), whose sum is σ = 5449901184. Its totient is φ = 514916352.

The previous prime is 1809419797. The next prime is 1809419813. The reversal of 1809419808 is 8089149081.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167466 + ... + 177942.

It is an arithmetic number, because the mean of its divisors is an integer number (56769804).

Almost surely, 2^1809419808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1809419808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724950592).

1809419808 is an abundant number, since it is smaller than the sum of its proper divisors (3640481376).

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

1809419808 is a wasteful number, since it uses less digits than its factorization.

1809419808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10754 (or 10746 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 1809419808 is about 42537.2755121905. The cubic root of 1809419808 is about 1218.5586777017.

The spelling of 1809419808 in words is "one billion, eight hundred nine million, four hundred nineteen thousand, eight hundred eight".