312480288 has 96 divisors (see below), whose sum is σ = 914699520. Its totient is φ = 103783680.

The previous prime is 312480283. The next prime is 312480319. The reversal of 312480288 is 882084213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (312480283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342553 + ... + 343463.

It is an arithmetic number, because the mean of its divisors is an integer number (9528120).

Almost surely, 2^312480288 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 312480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457349760).

312480288 is an abundant number, since it is smaller than the sum of its proper divisors (602219232).

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

312480288 is a wasteful number, since it uses less digits than its factorization.

312480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 312480288 is about 17677.1119813164. Note that the first 3 decimals coincide. The cubic root of 312480288 is about 678.5901354220.

The spelling of 312480288 in words is "three hundred twelve million, four hundred eighty thousand, two hundred eighty-eight".