304968960 has 216 divisors, whose sum is σ = 1101993984. Its totient is φ = 77721600.

The previous prime is 304968953. The next prime is 304968973. The reversal of 304968960 is 69869403.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 264385 + ... + 265535.

It is an arithmetic number, because the mean of its divisors is an integer number (5101824).

Almost surely, 2^304968960 is an apocalyptic number.

304968960 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 304968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550996992).

304968960 is an abundant number, since it is smaller than the sum of its proper divisors (797025024).

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

304968960 is a wasteful number, since it uses less digits than its factorization.

304968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 304968960 is about 17463.3605013468. The cubic root of 304968960 is about 673.1087139756.

The spelling of 304968960 in words is "three hundred four million, nine hundred sixty-eight thousand, nine hundred sixty".