311480048 has 40 divisors (see below), whose sum is σ = 662100480. Its totient is φ = 140776640.

The previous prime is 311480041. The next prime is 311480087. The reversal of 311480048 is 840084113.

It is a self number, because there is not a number n which added to its sum of digits gives 311480048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311480041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26561 + ... + 36447.

It is an arithmetic number, because the mean of its divisors is an integer number (16552512).

Almost surely, 2^311480048 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 311480048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331050240).

311480048 is an abundant number, since it is smaller than the sum of its proper divisors (350620432).

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

311480048 is a wasteful number, since it uses less digits than its factorization.

311480048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10085 (or 10079 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 311480048 is about 17648.7973527943. The cubic root of 311480048 is about 677.8653126237.

The spelling of 311480048 in words is "three hundred eleven million, four hundred eighty thousand, forty-eight".