305918220 has 96 divisors (see below), whose sum is σ = 901446336. Its totient is φ = 77414400.

The previous prime is 305918219. The next prime is 305918227. The reversal of 305918220 is 22819503.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (305918227) 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, 89340 + ... + 92700.

It is an arithmetic number, because the mean of its divisors is an integer number (9390066).

Almost surely, 2^305918220 is an apocalyptic number.

305918220 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 305918220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450723168).

305918220 is an abundant number, since it is smaller than the sum of its proper divisors (595528116).

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

305918220 is a wasteful number, since it uses less digits than its factorization.

305918220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3449 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 305918220 is about 17490.5180026207. The cubic root of 305918220 is about 673.8063733647.

The spelling of 305918220 in words is "three hundred five million, nine hundred eighteen thousand, two hundred twenty".