312706460 has 48 divisors (see below), whose sum is σ = 720431712. Its totient is φ = 113068800.

The previous prime is 312706453. The next prime is 312706501. The reversal of 312706460 is 64607213.

312706460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 35894 + ... + 43746.

It is an arithmetic number, because the mean of its divisors is an integer number (15008994).

Almost surely, 2^312706460 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 312706460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360215856).

312706460 is an abundant number, since it is smaller than the sum of its proper divisors (407725252).

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

312706460 is a wasteful number, since it uses less digits than its factorization.

312706460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8054 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 312706460 is about 17683.5081361137. The cubic root of 312706460 is about 678.7538162257.

The spelling of 312706460 in words is "three hundred twelve million, seven hundred six thousand, four hundred sixty".