311255040 has 224 divisors, whose sum is σ = 1061618400. Its totient is φ = 77594624.

The previous prime is 311255039. The next prime is 311255047. The reversal of 311255040 is 40552113.

It is a junction number, because it is equal to n+sod(n) for n = 311254998 and 311255016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311255047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2088886 + ... + 2089034.

Almost surely, 2^311255040 is an apocalyptic number.

311255040 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 311255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530809200).

311255040 is an abundant number, since it is smaller than the sum of its proper divisors (750363360).

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

311255040 is a wasteful number, since it uses less digits than its factorization.

311255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 311255040 is about 17642.4216024898. The cubic root of 311255040 is about 677.7020470992.

The spelling of 311255040 in words is "three hundred eleven million, two hundred fifty-five thousand, forty".