319919040 has 252 divisors, whose sum is σ = 1280608056. Its totient is φ = 73092096.

The previous prime is 319919027. The next prime is 319919051. The reversal of 319919040 is 40919913.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 319918986 and 319919004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139987 + ... + 142253.

It is an arithmetic number, because the mean of its divisors is an integer number (5081778).

Almost surely, 2^319919040 is an apocalyptic number.

319919040 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 319919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640304028).

319919040 is an abundant number, since it is smaller than the sum of its proper divisors (960689016).

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

319919040 is a wasteful number, since it uses less digits than its factorization.

319919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2304 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 319919040 is about 17886.2807760585. The cubic root of 319919040 is about 683.9326906168.

The spelling of 319919040 in words is "three hundred nineteen million, nine hundred nineteen thousand, forty".