304609920480 has 144 divisors (see below), whose sum is σ = 1039773780864. Its totient is φ = 81206461440.

The previous prime is 304609920473. The next prime is 304609920481. The reversal of 304609920480 is 84029906403.

304609920480 is a `hidden beast` number, since 3 + 0 + 4 + 60 + 99 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304609920481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5439825 + ... + 5495535.

It is an arithmetic number, because the mean of its divisors is an integer number (7220651256).

Almost surely, 2^304609920480 is an apocalyptic number.

304609920480 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 304609920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519886890432).

304609920480 is an abundant number, since it is smaller than the sum of its proper divisors (735163860384).

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

304609920480 is a wasteful number, since it uses less digits than its factorization.

304609920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59529 (or 59518 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 304609920480 in words is "three hundred four billion, six hundred nine million, nine hundred twenty thousand, four hundred eighty".