305329920 has 288 divisors, whose sum is σ = 1148302848. Its totient is φ = 67682304.

The previous prime is 305329919. The next prime is 305329961. The reversal of 305329920 is 29923503.

305329920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 994407 + ... + 994713.

Almost surely, 2^305329920 is an apocalyptic number.

305329920 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 305329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574151424).

305329920 is an abundant number, since it is smaller than the sum of its proper divisors (842972928).

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

305329920 is a wasteful number, since it uses less digits than its factorization.

305329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 305329920 is about 17473.6922257432. The cubic root of 305329920 is about 673.3741721682.

The spelling of 305329920 in words is "three hundred five million, three hundred twenty-nine thousand, nine hundred twenty".