305063040 has 128 divisors (see below), whose sum is σ = 989236800. Its totient is φ = 79941632.

The previous prime is 305063029. The next prime is 305063063. The reversal of 305063040 is 40360503.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 305062998 and 305063016.

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, 111934 + ... + 114626.

Almost surely, 2^305063040 is an apocalyptic number.

305063040 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 305063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494618400).

305063040 is an abundant number, since it is smaller than the sum of its proper divisors (684173760).

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

305063040 is a wasteful number, since it uses less digits than its factorization.

305063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 305063040 is about 17466.0539332730. The cubic root of 305063040 is about 673.1779227207.

The spelling of 305063040 in words is "three hundred five million, sixty-three thousand, forty".