1805712480 has 768 divisors, whose sum is σ = 7722086400. Its totient is φ = 388177920.

The previous prime is 1805712449. The next prime is 1805712499. The reversal of 1805712480 is 842175081.

1805712480 is a `hidden beast` number, since 1 + 8 + 0 + 571 + 2 + 4 + 80 = 666.

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 127 ways as a sum of consecutive naturals, for example, 22857081 + ... + 22857159.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2^1805712480 is an apocalyptic number.

1805712480 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 1805712480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3861043200).

1805712480 is an abundant number, since it is smaller than the sum of its proper divisors (5916373920).

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

1805712480 is a wasteful number, since it uses less digits than its factorization.

1805712480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 1805712480 is about 42493.6757647535. The cubic root of 1805712480 is about 1217.7258719635.

The spelling of 1805712480 in words is "one billion, eight hundred five million, seven hundred twelve thousand, four hundred eighty".