304080480000 has 1440 divisors, whose sum is σ = 1256657740800. Its totient is φ = 72783360000.

The previous prime is 304080479957. The next prime is 304080480001. The reversal of 304080480000 is 84080403.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304080480001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3849119961 + ... + 3849120039.

Almost surely, 2^304080480000 is an apocalyptic number.

304080480000 is a gapful number since it is divisible by the number (30) 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 304080480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628328870400).

304080480000 is an abundant number, since it is smaller than the sum of its proper divisors (952577260800).

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

304080480000 is an frugal number, since it uses more digits than its factorization.

304080480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 304080480000 in words is "three hundred four billion, eighty million, four hundred eighty thousand".