305820816 has 160 divisors (see below), whose sum is σ = 941749248. Its totient is φ = 83704320.

The previous prime is 305820793. The next prime is 305820817. The reversal of 305820816 is 618028503.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (305820817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 881155 + ... + 881501.

Almost surely, 2^305820816 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 305820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470874624).

305820816 is an abundant number, since it is smaller than the sum of its proper divisors (635928432).

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

305820816 is a wasteful number, since it uses less digits than its factorization.

305820816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 305820816 is about 17487.7333008026. The cubic root of 305820816 is about 673.7348527223.

It can be divided in two parts, 305 and 820816, that added together give a triangular number (821121 = T₁₂₈₁).

The spelling of 305820816 in words is "three hundred five million, eight hundred twenty thousand, eight hundred sixteen".