305855220 has 192 divisors, whose sum is σ = 971937792. Its totient is φ = 71232000.

The previous prime is 305855213. The next prime is 305855287. The reversal of 305855220 is 22558503.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2858407 + ... + 2858513.

It is an arithmetic number, because the mean of its divisors is an integer number (5062176).

Almost surely, 2^305855220 is an apocalyptic number.

305855220 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 305855220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485968896).

305855220 is an abundant number, since it is smaller than the sum of its proper divisors (666082572).

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

305855220 is a wasteful number, since it uses less digits than its factorization.

305855220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 305855220 is about 17488.7169340692. The cubic root of 305855220 is about 673.7601162138.

The spelling of 305855220 in words is "three hundred five million, eight hundred fifty-five thousand, two hundred twenty".