311211264 has 288 divisors, whose sum is σ = 1050321664. Its totient is φ = 79626240.

The previous prime is 311211233. The next prime is 311211287. The reversal of 311211264 is 462112113.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 311211264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4263132 + ... + 4263204.

Almost surely, 2^311211264 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 311211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525160832).

311211264 is an abundant number, since it is smaller than the sum of its proper divisors (739110400).

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

311211264 is a wasteful number, since it uses less digits than its factorization.

311211264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 311211264 is about 17641.1809128527. The cubic root of 311211264 is about 677.6702741457.

Adding to 311211264 its reverse (462112113), we get a palindrome (773323377).

It can be divided in two parts, 31121 and 1264, that added together give a triangular number (32385 = T₂₅₄).

The spelling of 311211264 in words is "three hundred eleven million, two hundred eleven thousand, two hundred sixty-four".