319955940 has 96 divisors (see below), whose sum is σ = 1000258560. Its totient is φ = 84907008.

The previous prime is 319955939. The next prime is 319955947. The reversal of 319955940 is 49559913.

It is a happy number.

319955940 is a `hidden beast` number, since 3 + 1 + 99 + 559 + 4 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (319955947) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119092 + ... + 121748.

It is an arithmetic number, because the mean of its divisors is an integer number (10419360).

Almost surely, 2^319955940 is an apocalyptic number.

319955940 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 319955940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500129280).

319955940 is an abundant number, since it is smaller than the sum of its proper divisors (680302620).

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

319955940 is a wasteful number, since it uses less digits than its factorization.

319955940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 319955940 is about 17887.3122631658. The cubic root of 319955940 is about 683.9589849214.

The spelling of 319955940 in words is "three hundred nineteen million, nine hundred fifty-five thousand, nine hundred forty".