304944240 has 80 divisors (see below), whose sum is σ = 951465888. Its totient is φ = 80790528.

The previous prime is 304944239. The next prime is 304944257. The reversal of 304944240 is 42449403.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 304944198 and 304944207.

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 15 ways as a sum of consecutive naturals, for example, 33634 + ... + 41726.

Almost surely, 2^304944240 is an apocalyptic number.

304944240 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 304944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475732944).

304944240 is an abundant number, since it is smaller than the sum of its proper divisors (646521648).

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

304944240 is a wasteful number, since it uses less digits than its factorization.

304944240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 304944240 is about 17462.6527194467. The cubic root of 304944240 is about 673.0905266634.

The spelling of 304944240 in words is "three hundred four million, nine hundred forty-four thousand, two hundred forty".