305632441456230 has 256 divisors, whose sum is σ = 901409168424960. Its totient is φ = 64729133365248.

The previous prime is 305632441456217. The next prime is 305632441456231. The reversal of 305632441456230 is 32654144236503.

It is a super-2 number, since 2×305632441456230² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 305632441456230.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305632441456231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 397388791 + ... + 398157149.

It is an arithmetic number, because the mean of its divisors is an integer number (3521129564160).

Almost surely, 2^{305632441456230} is an apocalyptic number.

305632441456230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 305632441456230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450704584212480).

305632441456230 is an abundant number, since it is smaller than the sum of its proper divisors (595776726968730).

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

305632441456230 is a wasteful number, since it uses less digits than its factorization.

305632441456230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770123.

The product of its (nonzero) digits is 6220800, while the sum is 48.

The spelling of 305632441456230 in words is "three hundred five trillion, six hundred thirty-two billion, four hundred forty-one million, four hundred fifty-six thousand, two hundred thirty".