312414256 has 60 divisors (see below), whose sum is σ = 760413136. Its totient is φ = 121714560.

The previous prime is 312414251. The next prime is 312414293. The reversal of 312414256 is 652414213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (312414251) 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 11 ways as a sum of consecutive naturals, for example, 2026 + ... + 25078.

Almost surely, 2^312414256 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 312414256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380206568).

312414256 is an abundant number, since it is smaller than the sum of its proper divisors (447998880).

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

312414256 is a wasteful number, since it uses less digits than its factorization.

312414256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23090 (or 23073 counting only the distinct ones).

The product of its digits is 5760, while the sum is 28.

The square root of 312414256 is about 17675.2441567295. The cubic root of 312414256 is about 678.5423331316.

Adding to 312414256 its reverse (652414213), we get a palindrome (964828469).

The spelling of 312414256 in words is "three hundred twelve million, four hundred fourteen thousand, two hundred fifty-six".