1804308480 has 416 divisors, whose sum is σ = 6935483520. Its totient is φ = 442368000.

The previous prime is 1804308421. The next prime is 1804308529. The reversal of 1804308480 is 848034081.

1804308480 is a `hidden beast` number, since 180 + 430 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-3 number, since 3×1804308480³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7188355 + ... + 7188605.

Almost surely, 2^1804308480 is an apocalyptic number.

1804308480 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 1804308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467741760).

1804308480 is an abundant number, since it is smaller than the sum of its proper divisors (5131175040).

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

1804308480 is a wasteful number, since it uses less digits than its factorization.

1804308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1804308480 is about 42477.1524469332. The cubic root of 1804308480 is about 1217.4101830140.

The spelling of 1804308480 in words is "one billion, eight hundred four million, three hundred eight thousand, four hundred eighty".