305420016 has 80 divisors (see below), whose sum is σ = 868515840. Its totient is φ = 91714560.

The previous prime is 305420009. The next prime is 305420033. The reversal of 305420016 is 610024503.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 305419974 and 305420001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57105 + ... + 62223.

It is an arithmetic number, because the mean of its divisors is an integer number (10856448).

Almost surely, 2^305420016 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 305420016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434257920).

305420016 is an abundant number, since it is smaller than the sum of its proper divisors (563095824).

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

305420016 is a wasteful number, since it uses less digits than its factorization.

305420016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 305420016 is about 17476.2700826006. The cubic root of 305420016 is about 673.4403981849.

Adding to 305420016 its reverse (610024503), we get a palindrome (915444519).

The spelling of 305420016 in words is "three hundred five million, four hundred twenty thousand, sixteen".