305303040 has 320 divisors, whose sum is σ = 1241349120. Its totient is φ = 69672960.

The previous prime is 305302999. The next prime is 305303057. The reversal of 305303040 is 40303503.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483525 + ... + 484155.

It is an arithmetic number, because the mean of its divisors is an integer number (3879216).

Almost surely, 2^305303040 is an apocalyptic number.

305303040 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 305303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620674560).

305303040 is an abundant number, since it is smaller than the sum of its proper divisors (936046080).

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

305303040 is an equidigital number, since it uses as much as digits as its factorization.

305303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 305303040 is about 17472.9230525405. The cubic root of 305303040 is about 673.3544112170.

Adding to 305303040 its reverse (40303503), we get a palindrome (345606543).

The spelling of 305303040 in words is "three hundred five million, three hundred three thousand, forty".