309996000 has 288 divisors, whose sum is σ = 1124323200. Its totient is φ = 80870400.

The previous prime is 309995977. The next prime is 309996007. The reversal of 309996000 is 699903.

309996000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (309996007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2843946 + ... + 2844054.

It is an arithmetic number, because the mean of its divisors is an integer number (3903900).

Almost surely, 2^309996000 is an apocalyptic number.

309996000 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 309996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562161600).

309996000 is an abundant number, since it is smaller than the sum of its proper divisors (814327200).

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

309996000 is a wasteful number, since it uses less digits than its factorization.

309996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 309996000 is about 17606.7032689257. The cubic root of 309996000 is about 676.7870342737.

It can be divided in two parts, 3099 and 96000, that added together give a palindrome (99099).

The spelling of 309996000 in words is "three hundred nine million, nine hundred ninety-six thousand".