305382896 has 180 divisors, whose sum is σ = 791714952. Its totient is φ = 113073408.

The previous prime is 305382859. The next prime is 305382929. The reversal of 305382896 is 698283503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3679271 + ... + 3679353.

Almost surely, 2^305382896 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 305382896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395857476).

305382896 is an abundant number, since it is smaller than the sum of its proper divisors (486332056).

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

305382896 is a wasteful number, since it uses less digits than its factorization.

305382896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 305382896 is about 17475.2080388189. The cubic root of 305382896 is about 673.4131143145.

The spelling of 305382896 in words is "three hundred five million, three hundred eighty-two thousand, eight hundred ninety-six".