1809105480 has 576 divisors, whose sum is σ = 7708296960. Its totient is φ = 365105664.

The previous prime is 1809105427. The next prime is 1809105511. The reversal of 1809105480 is 845019081.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78656749 + ... + 78656771.

It is an arithmetic number, because the mean of its divisors is an integer number (13382460).

Almost surely, 2^1809105480 is an apocalyptic number.

1809105480 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 1809105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3854148480).

1809105480 is an abundant number, since it is smaller than the sum of its proper divisors (5899191480).

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

1809105480 is a wasteful number, since it uses less digits than its factorization.

1809105480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

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

The square root of 1809105480 is about 42533.5806157911. The cubic root of 1809105480 is about 1218.4881119340.

The spelling of 1809105480 in words is "one billion, eight hundred nine million, one hundred five thousand, four hundred eighty".