313721280 has 168 divisors, whose sum is σ = 1091165712. Its totient is φ = 82722816.

The previous prime is 313721279. The next prime is 313721297. The reversal of 313721280 is 82127313.

313721280 is a `hidden beast` number, since 313 + 72 + 1 + 280 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278799 + ... + 279921.

It is an arithmetic number, because the mean of its divisors is an integer number (6495034).

Almost surely, 2^313721280 is an apocalyptic number.

313721280 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 313721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545582856).

313721280 is an abundant number, since it is smaller than the sum of its proper divisors (777444432).

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

313721280 is a wasteful number, since it uses less digits than its factorization.

313721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1243 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 313721280 is about 17712.1788608855. The cubic root of 313721280 is about 679.4872720872.

Adding to 313721280 its reverse (82127313), we get a palindrome (395848593).

The spelling of 313721280 in words is "three hundred thirteen million, seven hundred twenty-one thousand, two hundred eighty".