311845248 has 256 divisors, whose sum is σ = 1082995200. Its totient is φ = 87091200.

The previous prime is 311845241. The next prime is 311845253. The reversal of 311845248 is 842548113.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311845241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493893 + ... + 494523.

It is an arithmetic number, because the mean of its divisors is an integer number (4230450).

Almost surely, 2^311845248 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 311845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541497600).

311845248 is an abundant number, since it is smaller than the sum of its proper divisors (771149952).

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

311845248 is a wasteful number, since it uses less digits than its factorization.

311845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 660 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 311845248 is about 17659.1406359426. The cubic root of 311845248 is about 678.1301339995.

The spelling of 311845248 in words is "three hundred eleven million, eight hundred forty-five thousand, two hundred forty-eight".