311483264 has 64 divisors (see below), whose sum is σ = 657369600. Its totient is φ = 146603520.

The previous prime is 311483251. The next prime is 311483267. The reversal of 311483264 is 462384113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 311483264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311483267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512849 + ... + 513455.

It is an arithmetic number, because the mean of its divisors is an integer number (10271400).

Almost surely, 2^311483264 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 311483264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328684800).

311483264 is an abundant number, since it is smaller than the sum of its proper divisors (345886336).

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

311483264 is a wasteful number, since it uses less digits than its factorization.

311483264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 839 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 311483264 is about 17648.8884635832. Note that the first 3 decimals coincide. The cubic root of 311483264 is about 677.8676455792.

The spelling of 311483264 in words is "three hundred eleven million, four hundred eighty-three thousand, two hundred sixty-four".