313262880 has 288 divisors, whose sum is σ = 1210023360. Its totient is φ = 67737600.

The previous prime is 313262821. The next prime is 313262881. The reversal of 313262880 is 88262313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313262881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446530 + ... + 447230.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^313262880 is an apocalyptic number.

313262880 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 313262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605011680).

313262880 is an abundant number, since it is smaller than the sum of its proper divisors (896760480).

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

313262880 is a wasteful number, since it uses less digits than its factorization.

313262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 313262880 is about 17699.2338817249. The cubic root of 313262880 is about 679.1561620483.

The spelling of 313262880 in words is "three hundred thirteen million, two hundred sixty-two thousand, eight hundred eighty".