304912944 has 160 divisors (see below), whose sum is σ = 1017792000. Its totient is φ = 85591296.

The previous prime is 304912939. The next prime is 304912981. The reversal of 304912944 is 449219403.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 304912899 and 304912908.

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 31 ways as a sum of consecutive naturals, for example, 177562 + ... + 179270.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^304912944 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 304912944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508896000).

304912944 is an abundant number, since it is smaller than the sum of its proper divisors (712879056).

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

304912944 is a wasteful number, since it uses less digits than its factorization.

304912944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 304912944 is about 17461.7566126664. The cubic root of 304912944 is about 673.0674997632.

The spelling of 304912944 in words is "three hundred four million, nine hundred twelve thousand, nine hundred forty-four".