305432405220 has 96 divisors (see below), whose sum is σ = 871751776896. Its totient is φ = 79888384000.

The previous prime is 305432405209. The next prime is 305432405237. The reversal of 305432405220 is 22504234503.

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

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 31 ways as a sum of consecutive naturals, for example, 412900 + ... + 883940.

It is an arithmetic number, because the mean of its divisors is an integer number (9080747676).

Almost surely, 2^305432405220 is an apocalyptic number.

305432405220 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 305432405220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435875888448).

305432405220 is an abundant number, since it is smaller than the sum of its proper divisors (566319371676).

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

305432405220 is a wasteful number, since it uses less digits than its factorization.

305432405220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471261 (or 471259 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 305432405220 its reverse (22504234503), we get a palindrome (327936639723).

The spelling of 305432405220 in words is "three hundred five billion, four hundred thirty-two million, four hundred five thousand, two hundred twenty".