305725200 has 480 divisors, whose sum is σ = 1195637760. Its totient is φ = 65894400.

The previous prime is 305725169. The next prime is 305725201. The reversal of 305725200 is 2527503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (305725201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5768374 + ... + 5768426.

It is an arithmetic number, because the mean of its divisors is an integer number (2490912).

Almost surely, 2^305725200 is an apocalyptic number.

305725200 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 305725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597818880).

305725200 is an abundant number, since it is smaller than the sum of its proper divisors (889912560).

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

305725200 is a wasteful number, since it uses less digits than its factorization.

305725200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 305725200 is about 17484.9992851015. Note that the first 3 decimals coincide. The cubic root of 305725200 is about 673.6646301789.

The spelling of 305725200 in words is "three hundred five million, seven hundred twenty-five thousand, two hundred".