305040153200 has 120 divisors (see below), whose sum is σ = 736622967696. Its totient is φ = 121390848000.

The previous prime is 305040153199. The next prime is 305040153203. The reversal of 305040153200 is 2351040503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305040153203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86143430 + ... + 86146970.

Almost surely, 2^305040153200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305040153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368311483848).

305040153200 is an abundant number, since it is smaller than the sum of its proper divisors (431582814496).

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

305040153200 is a wasteful number, since it uses less digits than its factorization.

305040153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4603 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 23.

Adding to 305040153200 its reverse (2351040503), we get a palindrome (307391193703).

The spelling of 305040153200 in words is "three hundred five billion, forty million, one hundred fifty-three thousand, two hundred".