304803840 has 312 divisors, whose sum is σ = 1098118224. Its totient is φ = 72089600.

The previous prime is 304803839. The next prime is 304803841. The reversal of 304803840 is 48308403.

304803840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (304803839) and next prime (304803841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 304803798 and 304803807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304803841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7434220 + ... + 7434260.

Almost surely, 2^304803840 is an apocalyptic number.

304803840 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 304803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549059112).

304803840 is an abundant number, since it is smaller than the sum of its proper divisors (793314384).

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

304803840 is a wasteful number, since it uses less digits than its factorization.

304803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 304803840 is about 17458.6322488332. The cubic root of 304803840 is about 672.9872111448.

The spelling of 304803840 in words is "three hundred four million, eight hundred three thousand, eight hundred forty".