312411424 has 48 divisors (see below), whose sum is σ = 680307768. Its totient is φ = 140285952.

The previous prime is 312411413. The next prime is 312411427. The reversal of 312411424 is 424114213.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 271195024 + 41216400 = 16468^2 + 6420^2 .

It is a junction number, because it is equal to n+sod(n) for n = 312411395 and 312411404.

It is not an unprimeable number, because it can be changed into a prime (312411427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5244 + ... + 25540.

Almost surely, 2^312411424 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 312411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340153884).

312411424 is an abundant number, since it is smaller than the sum of its proper divisors (367896344).

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

312411424 is a wasteful number, since it uses less digits than its factorization.

312411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357 (or 20349 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 312411424 is about 17675.1640445004. The cubic root of 312411424 is about 678.5402828221.

Adding to 312411424 its reverse (424114213), we get a palindrome (736525637).

It can be divided in two parts, 3124 and 11424, that multiplied together give a triangular number (35688576 = T₈₄₄₈).

The spelling of 312411424 in words is "three hundred twelve million, four hundred eleven thousand, four hundred twenty-four".