311422464 has 120 divisors (see below), whose sum is σ = 946356840. Its totient is φ = 98316288.

The previous prime is 311422459. The next prime is 311422493. The reversal of 311422464 is 464224113.

It is a happy number.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 85774 + ... + 89330.

It is an arithmetic number, because the mean of its divisors is an integer number (7886307).

Almost surely, 2^311422464 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 311422464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473178420).

311422464 is an abundant number, since it is smaller than the sum of its proper divisors (634934376).

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

311422464 is a wasteful number, since it uses less digits than its factorization.

311422464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3581 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 311422464 is about 17647.1658914399. The cubic root of 311422464 is about 677.8235372332.

Adding to 311422464 its reverse (464224113), we get a palindrome (775646577).

The spelling of 311422464 in words is "three hundred eleven million, four hundred twenty-two thousand, four hundred sixty-four".