304922880 has 360 divisors, whose sum is σ = 1161928152. Its totient is φ = 76087296.

The previous prime is 304922861. The next prime is 304922881. The reversal of 304922880 is 88229403.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 175509504 = 11376^2 + 13248^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 (304922881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1762474 + ... + 1762646.

Almost surely, 2^304922880 is an apocalyptic number.

304922880 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 304922880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580964076).

304922880 is an abundant number, since it is smaller than the sum of its proper divisors (857005272).

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

304922880 is a wasteful number, since it uses less digits than its factorization.

304922880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 304922880 is about 17462.0411178075. The cubic root of 304922880 is about 673.0748106215.

The spelling of 304922880 in words is "three hundred four million, nine hundred twenty-two thousand, eight hundred eighty".