30304800 has 288 divisors, whose sum is σ = 116242560. Its totient is φ = 7603200.

The previous prime is 30304789. The next prime is 30304831. The reversal of 30304800 is 840303.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 496770 + ... + 496830.

It is an arithmetic number, because the mean of its divisors is an integer number (403620).

Almost surely, 2^30304800 is an apocalyptic number.

30304800 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 30304800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121280).

30304800 is an abundant number, since it is smaller than the sum of its proper divisors (85937760).

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

30304800 is a wasteful number, since it uses less digits than its factorization.

30304800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 30304800 is about 5504.9795639948. The cubic root of 30304800 is about 311.7720228076.

The spelling of 30304800 in words is "thirty million, three hundred four thousand, eight hundred".