311316480 has 208 divisors, whose sum is σ = 1108733760. Its totient is φ = 82870272.

The previous prime is 311316451. The next prime is 311316487. The reversal of 311316480 is 84613113.

311316480 is a `hidden beast` number, since 3 + 1 + 13 + 1 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311316487) 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, 552679 + ... + 553241.

Almost surely, 2^311316480 is an apocalyptic number.

311316480 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 311316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554366880).

311316480 is an abundant number, since it is smaller than the sum of its proper divisors (797417280).

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

311316480 is an equidigital number, since it uses as much as digits as its factorization.

311316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 311316480 is about 17644.1627741301. The cubic root of 311316480 is about 677.7466356938.

Adding to 311316480 its reverse (84613113), we get a palindrome (395929593).

The spelling of 311316480 in words is "three hundred eleven million, three hundred sixteen thousand, four hundred eighty".