313810848 has 240 divisors, whose sum is σ = 1015993440. Its totient is φ = 94431744.

The previous prime is 313810829. The next prime is 313810883. The reversal of 313810848 is 848018313.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2257563 + ... + 2257701.

It is an arithmetic number, because the mean of its divisors is an integer number (4233306).

Almost surely, 2^313810848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313810848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507996720).

313810848 is an abundant number, since it is smaller than the sum of its proper divisors (702182592).

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

313810848 is a wasteful number, since it uses less digits than its factorization.

313810848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 313810848 is about 17714.7071101952. The cubic root of 313810848 is about 679.5519308877.

The spelling of 313810848 in words is "three hundred thirteen million, eight hundred ten thousand, eight hundred forty-eight".