311300442 has 64 divisors (see below), whose sum is σ = 721353600. Its totient is φ = 99388800.

The previous prime is 311300417. The next prime is 311300453. The reversal of 311300442 is 244003113.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 213817 + ... + 215267.

It is an arithmetic number, because the mean of its divisors is an integer number (11271150).

Almost surely, 2^311300442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311300442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360676800).

311300442 is an abundant number, since it is smaller than the sum of its proper divisors (410053158).

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

311300442 is a wasteful number, since it uses less digits than its factorization.

311300442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 311300442 is about 17643.7082836914. The cubic root of 311300442 is about 677.7349970689.

Adding to 311300442 its reverse (244003113), we get a palindrome (555303555).

The spelling of 311300442 in words is "three hundred eleven million, three hundred thousand, four hundred forty-two".