1814884480 has 64 divisors (see below), whose sum is σ = 4372030080. Its totient is φ = 720378880.

The previous prime is 1814884433. The next prime is 1814884499. The reversal of 1814884480 is 844884181.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1814884480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73017 + ... + 94663.

It is an arithmetic number, because the mean of its divisors is an integer number (68312970).

Almost surely, 2^1814884480 is an apocalyptic number.

1814884480 is a gapful number since it is divisible by the number (10) 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 1814884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2186015040).

1814884480 is an abundant number, since it is smaller than the sum of its proper divisors (2557145600).

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

1814884480 is a wasteful number, since it uses less digits than its factorization.

1814884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21797 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 46.

The square root of 1814884480 is about 42601.4610078105. The cubic root of 1814884480 is about 1219.7841775351.

The spelling of 1814884480 in words is "one billion, eight hundred fourteen million, eight hundred eighty-four thousand, four hundred eighty".