312336440 has 128 divisors (see below), whose sum is σ = 807105600. Its totient is φ = 107827200.

The previous prime is 312336419. The next prime is 312336457. The reversal of 312336440 is 44633213.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 997724 + ... + 998036.

Almost surely, 2^312336440 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 312336440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403552800).

312336440 is an abundant number, since it is smaller than the sum of its proper divisors (494769160).

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

312336440 is a wasteful number, since it uses less digits than its factorization.

312336440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 312336440 is about 17673.0427487742. The cubic root of 312336440 is about 678.4859914488.

Adding to 312336440 its reverse (44633213), we get a palindrome (356969653).

It can be divided in two parts, 31233 and 6440, that added together give a palindrome (37673).

The spelling of 312336440 in words is "three hundred twelve million, three hundred thirty-six thousand, four hundred forty".