305250400 has 216 divisors, whose sum is σ = 935096400. Its totient is φ = 96445440.

The previous prime is 305250389. The next prime is 305250401. The reversal of 305250400 is 4052503.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305250401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 509301 + ... + 509899.

It is an arithmetic number, because the mean of its divisors is an integer number (4329150).

Almost surely, 2^305250400 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 305250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467548200).

305250400 is an abundant number, since it is smaller than the sum of its proper divisors (629846000).

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

305250400 is a wasteful number, since it uses less digits than its factorization.

305250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 305250400 is about 17471.4166569285. The cubic root of 305250400 is about 673.3157093275.

The spelling of 305250400 in words is "three hundred five million, two hundred fifty thousand, four hundred".