311480304 has 80 divisors (see below), whose sum is σ = 828220800. Its totient is φ = 100816128.

The previous prime is 311480297. The next prime is 311480333. The reversal of 311480304 is 403084113.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472327 + ... + 472985.

It is an arithmetic number, because the mean of its divisors is an integer number (10352760).

Almost surely, 2^311480304 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 311480304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414110400).

311480304 is an abundant number, since it is smaller than the sum of its proper divisors (516740496).

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

311480304 is a wasteful number, since it uses less digits than its factorization.

311480304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 311480304 is about 17648.8046054117. The cubic root of 311480304 is about 677.8654983322.

The spelling of 311480304 in words is "three hundred eleven million, four hundred eighty thousand, three hundred four".