304144960 has 224 divisors, whose sum is σ = 899769600. Its totient is φ = 97542144.

The previous prime is 304144949. The next prime is 304144961. The reversal of 304144960 is 69441403.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304144961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1865839 + ... + 1866001.

Almost surely, 2^304144960 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 304144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449884800).

304144960 is an abundant number, since it is smaller than the sum of its proper divisors (595624640).

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

304144960 is a wasteful number, since it uses less digits than its factorization.

304144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 304144960 is about 17439.7522918188. The cubic root of 304144960 is about 672.5019398054.

The spelling of 304144960 in words is "three hundred four million, one hundred forty-four thousand, nine hundred sixty".