312260416 has 56 divisors (see below), whose sum is σ = 674964360. Its totient is φ = 142467072.

The previous prime is 312260413. The next prime is 312260423. The reversal of 312260416 is 614062213.

It can be written as a sum of positive squares in 4 ways, for example, as 19713600 + 292546816 = 4440^2 + 17104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312260411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 71940 + ... + 76156.

It is an arithmetic number, because the mean of its divisors is an integer number (12052935).

Almost surely, 2^312260416 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 312260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337482180).

312260416 is an abundant number, since it is smaller than the sum of its proper divisors (362703944).

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

312260416 is a wasteful number, since it uses less digits than its factorization.

312260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 312260416 is about 17670.8917714981. The cubic root of 312260416 is about 678.4309382028.

The spelling of 312260416 in words is "three hundred twelve million, two hundred sixty thousand, four hundred sixteen".