305920000 has 120 divisors (see below), whose sum is σ = 767566800. Its totient is φ = 121856000.

The previous prime is 305919979. The next prime is 305920001. The reversal of 305920000 is 29503.

It is a self number, because there is not a number n which added to its sum of digits gives 305920000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305920001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279881 + ... + 1280119.

It is an arithmetic number, because the mean of its divisors is an integer number (6396390).

Almost surely, 2^305920000 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 305920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383783400).

305920000 is an abundant number, since it is smaller than the sum of its proper divisors (461646800).

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

305920000 is an frugal number, since it uses more digits than its factorization.

305920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 305920000 is about 17490.5688872604. The cubic root of 305920000 is about 673.8076802205.

Adding to 305920000 its reverse (29503), we get a palindrome (305949503).

The spelling of 305920000 in words is "three hundred five million, nine hundred twenty thousand".