304050240 has 224 divisors, whose sum is σ = 1155557760. Its totient is φ = 74815488.

The previous prime is 304050209. The next prime is 304050259. The reversal of 304050240 is 42050403.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 110967 + ... + 113673.

It is an arithmetic number, because the mean of its divisors is an integer number (5158740).

Almost surely, 2^304050240 is an apocalyptic number.

304050240 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 304050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577778880).

304050240 is an abundant number, since it is smaller than the sum of its proper divisors (851507520).

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

304050240 is a wasteful number, since it uses less digits than its factorization.

304050240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2730 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 304050240 is about 17437.0364454514. The cubic root of 304050240 is about 672.4321200310.

The spelling of 304050240 in words is "three hundred four million, fifty thousand, two hundred forty".