312424424 has 64 divisors (see below), whose sum is σ = 662256000. Its totient is φ = 137168640.

The previous prime is 312424403. The next prime is 312424439. The reversal of 312424424 is 424424213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 312424393 and 312424402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213407 + ... + 214865.

It is an arithmetic number, because the mean of its divisors is an integer number (10347750).

Almost surely, 2^312424424 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 312424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331128000).

312424424 is an abundant number, since it is smaller than the sum of its proper divisors (349831576).

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

312424424 is a wasteful number, since it uses less digits than its factorization.

312424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1574 counting only the distinct ones).

The product of its digits is 6144, while the sum is 26.

The square root of 312424424 is about 17675.5317883225. The cubic root of 312424424 is about 678.5496944512.

Adding to 312424424 its reverse (424424213), we get a palindrome (736848637).

The spelling of 312424424 in words is "three hundred twelve million, four hundred twenty-four thousand, four hundred twenty-four".