304972668 has 432 divisors, whose sum is σ = 1121541120. Its totient is φ = 70761600.

The previous prime is 304972643. The next prime is 304972687. The reversal of 304972668 is 866279403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9837813 + ... + 9837843.

It is an arithmetic number, because the mean of its divisors is an integer number (2596160).

Almost surely, 2^304972668 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 304972668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560770560).

304972668 is an abundant number, since it is smaller than the sum of its proper divisors (816568452).

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

304972668 is a wasteful number, since it uses less digits than its factorization.

304972668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 304972668 is about 17463.4666661577. The cubic root of 304972668 is about 673.1114419876. Note that the first 3 decimals are identical.

The spelling of 304972668 in words is "three hundred four million, nine hundred seventy-two thousand, six hundred sixty-eight".