305428800 has 336 divisors, whose sum is σ = 1122517440. Its totient is φ = 72253440.

The previous prime is 305428789. The next prime is 305428807. The reversal of 305428800 is 8824503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305428807) by changing a digit.

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, 1550302 + ... + 1550498.

Almost surely, 2^305428800 is an apocalyptic number.

305428800 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 305428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561258720).

305428800 is an abundant number, since it is smaller than the sum of its proper divisors (817088640).

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

305428800 is a wasteful number, since it uses less digits than its factorization.

305428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 305428800 is about 17476.5213930004. The cubic root of 305428800 is about 673.4468542600.

The spelling of 305428800 in words is "three hundred five million, four hundred twenty-eight thousand, eight hundred".