305429080 has 128 divisors (see below), whose sum is σ = 783535680. Its totient is φ = 106168320.

The previous prime is 305429071. The next prime is 305429083. The reversal of 305429080 is 80924503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305429083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188312 + ... + 1188568.

Almost surely, 2^305429080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305429080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391767840).

305429080 is an abundant number, since it is smaller than the sum of its proper divisors (478106600).

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

305429080 is a wasteful number, since it uses less digits than its factorization.

305429080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 305429080 is about 17476.5294037460. The cubic root of 305429080 is about 673.4470600527.

The spelling of 305429080 in words is "three hundred five million, four hundred twenty-nine thousand, eighty".