320400252300 has 144 divisors (see below), whose sum is σ = 951971882400. Its totient is φ = 83151052800.

The previous prime is 320400252257. The next prime is 320400252313. The reversal of 320400252300 is 3252004023.

It is a super-3 number, since 3×320400252300³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4998856 + ... + 5062544.

It is an arithmetic number, because the mean of its divisors is an integer number (6610915850).

Almost surely, 2^320400252300 is an apocalyptic number.

320400252300 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 320400252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475985941200).

320400252300 is an abundant number, since it is smaller than the sum of its proper divisors (631571630100).

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

320400252300 is a wasteful number, since it uses less digits than its factorization.

320400252300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64156 (or 64149 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

Adding to 320400252300 its reverse (3252004023), we get a palindrome (323652256323).

The spelling of 320400252300 in words is "three hundred twenty billion, four hundred million, two hundred fifty-two thousand, three hundred".