311968400 has 60 divisors (see below), whose sum is σ = 762265200. Its totient is φ = 122663040.

The previous prime is 311968387. The next prime is 311968409. The reversal of 311968400 is 4869113.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (311968409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16991 + ... + 30209.

It is an arithmetic number, because the mean of its divisors is an integer number (12704420).

Almost surely, 2^311968400 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 311968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381132600).

311968400 is an abundant number, since it is smaller than the sum of its proper divisors (450296800).

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

311968400 is a wasteful number, since it uses less digits than its factorization.

311968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13296 (or 13285 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 311968400 is about 17662.6272111484. The cubic root of 311968400 is about 678.2193899063.

The spelling of 311968400 in words is "three hundred eleven million, nine hundred sixty-eight thousand, four hundred".