319959900 has 432 divisors, whose sum is σ = 1194298560. Its totient is φ = 70963200.

The previous prime is 319959889. The next prime is 319959901. The reversal of 319959900 is 9959913.

319959900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319959901) 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 143 ways as a sum of consecutive naturals, for example, 7803880 + ... + 7803920.

It is an arithmetic number, because the mean of its divisors is an integer number (2764580).

Almost surely, 2^319959900 is an apocalyptic number.

319959900 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 319959900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597149280).

319959900 is an abundant number, since it is smaller than the sum of its proper divisors (874338660).

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

319959900 is a wasteful number, since it uses less digits than its factorization.

319959900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 98415, while the sum is 45.

The square root of 319959900 is about 17887.4229558089. The cubic root of 319959900 is about 683.9618066291.

The spelling of 319959900 in words is "three hundred nineteen million, nine hundred fifty-nine thousand, nine hundred".