1806879456 has 144 divisors (see below), whose sum is σ = 5238127440. Its totient is φ = 590714880.

The previous prime is 1806879443. The next prime is 1806879467. The reversal of 1806879456 is 6549786081.

1806879456 is a `hidden beast` number, since 180 + 6 + 8 + 7 + 9 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6430036 + ... + 6430316.

It is an arithmetic number, because the mean of its divisors is an integer number (36375885).

Almost surely, 2^1806879456 is an apocalyptic number.

1806879456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1806879456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619063720).

1806879456 is an abundant number, since it is smaller than the sum of its proper divisors (3431247984).

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

1806879456 is a wasteful number, since it uses less digits than its factorization.

1806879456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 1806879456 is about 42507.4047196486. The cubic root of 1806879456 is about 1217.9881416335.

The spelling of 1806879456 in words is "one billion, eight hundred six million, eight hundred seventy-nine thousand, four hundred fifty-six".