312460 has 24 divisors (see below), whose sum is σ = 695520. Its totient is φ = 117504.

The previous prime is 312451. The next prime is 312469. The reversal of 312460 is 64213.

It is an interprime number because it is at equal distance from previous prime (312451) and next prime (312469).

It is not an unprimeable number, because it can be changed into a prime (312469) by changing a digit.

312460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 799.

It is an arithmetic number, because the mean of its divisors is an integer number (28980).

2³¹²⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

312460 is an abundant number, since it is smaller than the sum of its proper divisors (383060).

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

312460 is a wasteful number, since it uses less digits than its factorization.

312460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 312460 is about 558.9812161424. The cubic root of 312460 is about 67.8575449125.

Adding to 312460 its reverse (64213), we get a palindrome (376673).

The spelling of 312460 in words is "three hundred twelve thousand, four hundred sixty".