311466996 has 72 divisors (see below), whose sum is σ = 854033544. Its totient is φ = 95324160.

The previous prime is 311466977. The next prime is 311467001. The reversal of 311466996 is 699664113.

It can be written as a sum of positive squares in 4 ways, for example, as 7452900 + 304014096 = 2730^2 + 17436^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18886 + ... + 31298.

It is an arithmetic number, because the mean of its divisors is an integer number (11861577).

Almost surely, 2^311466996 is an apocalyptic number.

311466996 is a gapful number since it is divisible by the number (36) 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 311466996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427016772).

311466996 is an abundant number, since it is smaller than the sum of its proper divisors (542566548).

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

311466996 is a wasteful number, since it uses less digits than its factorization.

311466996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12476 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 311466996 is about 17648.4275786825. The cubic root of 311466996 is about 677.8558442573.

The spelling of 311466996 in words is "three hundred eleven million, four hundred sixty-six thousand, nine hundred ninety-six".