312767440 has 20 divisors (see below), whose sum is σ = 727184484. Its totient is φ = 125106944.

The previous prime is 312767321. The next prime is 312767443. The reversal of 312767440 is 44767213.

312767440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 101123136 + 211644304 = 10056^2 + 14548^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 312767396 and 312767405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312767443) 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 3 ways as a sum of consecutive naturals, for example, 1954717 + ... + 1954876.

Almost surely, 2^312767440 is an apocalyptic number.

It is an amenable number.

312767440 is an abundant number, since it is smaller than the sum of its proper divisors (414417044).

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

312767440 is a wasteful number, since it uses less digits than its factorization.

312767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909606 (or 3909600 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 34.

The square root of 312767440 is about 17685.2322574514. The cubic root of 312767440 is about 678.7979339771.

The spelling of 312767440 in words is "three hundred twelve million, seven hundred sixty-seven thousand, four hundred forty".