305420440320 has 252 divisors, whose sum is σ = 1096867681056. Its totient is φ = 81445201920.

The previous prime is 305420440289. The next prime is 305420440331. The reversal of 305420440320 is 23044024503.

305420440320 is a `hidden beast` number, since 3 + 0 + 54 + 204 + 403 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 769465 + ... + 1096775.

It is an arithmetic number, because the mean of its divisors is an integer number (4352649528).

Almost surely, 2^305420440320 is an apocalyptic number.

305420440320 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 305420440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548433840528).

305420440320 is an abundant number, since it is smaller than the sum of its proper divisors (791447240736).

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

305420440320 is an frugal number, since it uses more digits than its factorization.

305420440320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327350 (or 327321 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 305420440320 its reverse (23044024503), we get a palindrome (328464464823).

The spelling of 305420440320 in words is "three hundred five billion, four hundred twenty million, four hundred forty thousand, three hundred twenty".