304949120 has 128 divisors (see below), whose sum is σ = 853079040. Its totient is φ = 102057984.

The previous prime is 304949119. The next prime is 304949129. The reversal of 304949120 is 21949403.

It is a happy number.

304949120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304949129) 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 15 ways as a sum of consecutive naturals, for example, 191849 + ... + 193431.

It is an arithmetic number, because the mean of its divisors is an integer number (6664680).

Almost surely, 2^304949120 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 304949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426539520).

304949120 is an abundant number, since it is smaller than the sum of its proper divisors (548129920).

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

304949120 is a wasteful number, since it uses less digits than its factorization.

304949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 304949120 is about 17462.7924456543. The cubic root of 304949120 is about 673.0941171168.

The spelling of 304949120 in words is "three hundred four million, nine hundred forty-nine thousand, one hundred twenty".