305668000 has 96 divisors (see below), whose sum is σ = 819419328. Its totient is φ = 111136000.

The previous prime is 305667977. The next prime is 305668019. The reversal of 305668000 is 866503.

It is a self number, because there is not a number n which added to its sum of digits gives 305668000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40527 + ... + 47473.

It is an arithmetic number, because the mean of its divisors is an integer number (8535618).

Almost surely, 2^305668000 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 305668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409709664).

305668000 is an abundant number, since it is smaller than the sum of its proper divisors (513751328).

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

305668000 is a wasteful number, since it uses less digits than its factorization.

305668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 305668000 is about 17483.3635207874. The cubic root of 305668000 is about 673.6226142114.

The spelling of 305668000 in words is "three hundred five million, six hundred sixty-eight thousand".