304906680 has 384 divisors, whose sum is σ = 1174118400. Its totient is φ = 70543872.

The previous prime is 304906673. The next prime is 304906687. The reversal of 304906680 is 86609403.

304906680 is a `hidden beast` number, since 30 + 490 + 66 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (304906673) and next prime (304906687).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304906687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2400777 + ... + 2400903.

It is an arithmetic number, because the mean of its divisors is an integer number (3057600).

Almost surely, 2^304906680 is an apocalyptic number.

304906680 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 304906680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587059200).

304906680 is an abundant number, since it is smaller than the sum of its proper divisors (869211720).

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

304906680 is a wasteful number, since it uses less digits than its factorization.

304906680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 304906680 is about 17461.5772483473. The cubic root of 304906680 is about 673.0628906621.

The spelling of 304906680 in words is "three hundred four million, nine hundred six thousand, six hundred eighty".