304022880 has 144 divisors (see below), whose sum is σ = 1185728544. Its totient is φ = 69488640.

The previous prime is 304022869. The next prime is 304022891. The reversal of 304022880 is 88220403.

It is an interprime number because it is at equal distance from previous prime (304022869) and next prime (304022891).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5001 + ... + 25160.

It is an arithmetic number, because the mean of its divisors is an integer number (8234226).

Almost surely, 2^304022880 is an apocalyptic number.

304022880 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 304022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592864272).

304022880 is an abundant number, since it is smaller than the sum of its proper divisors (881705664).

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

304022880 is a wasteful number, since it uses less digits than its factorization.

304022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30189 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 304022880 is about 17436.2518908164. The cubic root of 304022880 is about 672.4119497957.

The spelling of 304022880 in words is "three hundred four million, twenty-two thousand, eight hundred eighty".