305390800 has 240 divisors, whose sum is σ = 910566720. Its totient is φ = 96768000.

The previous prime is 305390747. The next prime is 305390801. The reversal of 305390800 is 8093503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305390801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1086660 + ... + 1086940.

It is an arithmetic number, because the mean of its divisors is an integer number (3794028).

Almost surely, 2^305390800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455283360).

305390800 is an abundant number, since it is smaller than the sum of its proper divisors (605175920).

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

305390800 is a wasteful number, since it uses less digits than its factorization.

305390800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 305390800 is about 17475.4341863085. The cubic root of 305390800 is about 673.4189240825.

The spelling of 305390800 in words is "three hundred five million, three hundred ninety thousand, eight hundred".