317221920 has 288 divisors, whose sum is σ = 1155772800. Its totient is φ = 82114560.

The previous prime is 317221903. The next prime is 317221939. The reversal of 317221920 is 29122713.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 1593981 + ... + 1594179.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^317221920 is an apocalyptic number.

317221920 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 317221920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577886400).

317221920 is an abundant number, since it is smaller than the sum of its proper divisors (838550880).

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

317221920 is a wasteful number, since it uses less digits than its factorization.

317221920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 317221920 is about 17810.7248589158. The cubic root of 317221920 is about 682.0052688052.

The spelling of 317221920 in words is "three hundred seventeen million, two hundred twenty-one thousand, nine hundred twenty".