320430000 has 200 divisors, whose sum is σ = 1129588416. Its totient is φ = 77600000.

The previous prime is 320429983. The next prime is 320430001. The reversal of 320430000 is 34023.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (320430001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 329515 + ... + 330485.

Almost surely, 2^320430000 is an apocalyptic number.

320430000 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 320430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564794208).

320430000 is an abundant number, since it is smaller than the sum of its proper divisors (809158416).

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

320430000 is a wasteful number, since it uses less digits than its factorization.

320430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 320430000 is about 17900.5586505003. The cubic root of 320430000 is about 684.2966122349.

Adding to 320430000 its reverse (34023), we get a palindrome (320464023).

The spelling of 320430000 in words is "three hundred twenty million, four hundred thirty thousand".